76:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
©Shutterstock:@0.068896:0.292492:0.068896:0.249667:0.056985:0.249667:0.056985:0.292492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué significado tiene:@0.096074:0.192000:0.244164:0.192000:0.244164:0.177101:0.096074:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la  expresión tiende a…?:@0.079489:0.205830:0.244164:0.205830:0.244164:0.190931:0.079489:0.190931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada por incrementos:@0.287495:0.448604:0.550780:0.448604:0.550780:0.427094:0.287495:0.427094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada por incrementos es la razón de cambio entre dos valores cercanos de una :@0.287495:0.471385:0.907639:0.471385:0.907639:0.454996:0.287495:0.454996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función. Es el proceso de comparar cuánto cambia el valor de la función  ( ) cuando :@0.287495:0.487981:0.907639:0.487981:0.907639:0.471592:0.287495:0.471592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.821342:0.487981:0.838388:0.487981:0.838388:0.471620:0.821342:0.471620:0.000000:0.000000:0.000000
se hace un pequeño cambio en la variable independiente.:@0.287495:0.504578:0.714143:0.504578:0.714143:0.488189:0.287495:0.488189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretación geométrica:@0.287495:0.533689:0.515583:0.533689:0.515583:0.515252:0.287495:0.515252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dada una función f(x), elegimos un punto   y lo comparamos con un valor cercano :@0.287495:0.557099:0.897408:0.557099:0.897408:0.540710:0.287495:0.540710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.596558:0.557099:0.604021:0.557099:0.604021:0.540737:0.596558:0.540737:0.000000
x:@0.287495:0.573695:0.294959:0.573695:0.294959:0.557334:0.287495:0.557334:0.000000
 + ∆ . Calculamos cuánto cambia  ( ) al hacer cambios pequeños en ∆ .:@0.294959:0.573695:0.817106:0.573695:0.817106:0.557306:0.294959:0.557306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.323816:0.573695:0.331279:0.573695:0.331279:0.557334:0.323816:0.557334:0.000000
f x:@0.541076:0.573695:0.558861:0.573695:0.558861:0.557334:0.541076:0.557334:0.000000:0.000000:0.000000
x:@0.806436:0.573695:0.813899:0.573695:0.813899:0.557334:0.806436:0.557334:0.000000
La pendiente de la secante es: :@0.287495:0.603472:0.511572:0.603472:0.511572:0.587083:0.287495:0.587083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.514090:0.603141:0.528722:0.603141:0.528722:0.586780:0.514090:0.586780:0.000000
y:@0.573372:0.594373:0.580853:0.594373:0.580853:0.578011:0.573372:0.578011:0.000000
x:@0.573372:0.613984:0.580835:0.613984:0.580835:0.597623:0.573372:0.597623:0.000000
m:@0.514090:0.642364:0.528722:0.642364:0.528722:0.626003:0.514090:0.626003:0.000000
fx:@0.561891:0.632420:0.587045:0.632420:0.587045:0.616059:0.561891:0.616059:0.000000:0.000000
x:@0.615350:0.632420:0.622813:0.632420:0.622813:0.616059:0.615350:0.616059:0.000000
f x:@0.646345:0.632420:0.667684:0.632420:0.667684:0.616059:0.646345:0.616059:0.000000:0.000000:0.000000
x:@0.617967:0.653207:0.625430:0.653207:0.625430:0.636846:0.617967:0.636846:0.000000
sec:@0.527767:0.605145:0.541640:0.605145:0.541640:0.595647:0.527767:0.595647:0.000000:0.000000:0.000000
sec:@0.527767:0.644348:0.541640:0.644348:0.541640:0.634849:0.527767:0.634849:0.000000:0.000000:0.000000
():@0.653567:0.632412:0.674372:0.632412:0.674372:0.616023:0.653567:0.616023:0.000000:0.000000
=:@0.547406:0.602732:0.557522:0.602732:0.557522:0.585790:0.547406:0.585790:0.000000
=:@0.547406:0.641941:0.557522:0.641941:0.557522:0.624999:0.547406:0.624999:0.000000
+:@0.591171:0.631997:0.601288:0.631997:0.601288:0.615055:0.591171:0.615055:0.000000
(:@0.571114:0.633747:0.523110:0.633747:0.523110:0.612095:0.571114:0.612095:0.000000
):@0.625254:0.633747:0.577250:0.633747:0.577250:0.612095:0.625254:0.612095:0.000000
−:@0.633935:0.631997:0.644052:0.631997:0.644052:0.615055:0.633935:0.615055:0.000000
m:@0.288288:0.598253:0.302919:0.598253:0.302919:0.581891:0.288288:0.581891:0.000000
y:@0.347570:0.589484:0.355051:0.589484:0.355051:0.573123:0.347570:0.573123:0.000000
x:@0.347570:0.609096:0.355033:0.609096:0.355033:0.592734:0.347570:0.592734:0.000000
m:@0.288288:0.637475:0.302919:0.637475:0.302919:0.621114:0.288288:0.621114:0.000000
fx:@0.336089:0.627531:0.361243:0.627531:0.361243:0.611170:0.336089:0.611170:0.000000:0.000000
x:@0.389548:0.627531:0.397011:0.627531:0.397011:0.611170:0.389548:0.611170:0.000000
f x:@0.420543:0.627531:0.441882:0.627531:0.441882:0.611170:0.420543:0.611170:0.000000:0.000000:0.000000
x:@0.392164:0.648318:0.399628:0.648318:0.399628:0.631957:0.392164:0.631957:0.000000
sec:@0.301966:0.600257:0.315839:0.600257:0.315839:0.590758:0.301966:0.590758:0.000000:0.000000:0.000000
sec:@0.301966:0.639459:0.315839:0.639459:0.315839:0.629961:0.301966:0.629961:0.000000:0.000000:0.000000
():@0.427765:0.627524:0.448570:0.627524:0.448570:0.611135:0.427765:0.611135:0.000000:0.000000
=:@0.321603:0.597844:0.331720:0.597844:0.331720:0.580902:0.321603:0.580902:0.000000
=:@0.321603:0.637053:0.331720:0.637053:0.331720:0.620111:0.321603:0.620111:0.000000
+:@0.365369:0.627109:0.375486:0.627109:0.375486:0.610167:0.365369:0.610167:0.000000
(:@0.345313:0.628859:0.297309:0.628859:0.297309:0.607207:0.345313:0.607207:0.000000
):@0.399453:0.628859:0.351449:0.628859:0.351449:0.607207:0.399453:0.607207:0.000000
−:@0.408134:0.627109:0.418251:0.627109:0.418251:0.610167:0.408134:0.610167:0.000000
Simbología:@0.287495:0.872234:0.378270:0.872234:0.378270:0.855333:0.287495:0.855333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   =  ( ), se puede escribir la igualdad  ’:@0.287495:0.900766:0.594724:0.901194:0.594724:0.884805:0.287495:0.884377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.304412:0.900766:0.311894:0.900766:0.311894:0.884404:0.304412:0.884404:0.000000
f x:@0.331906:0.900766:0.348952:0.900766:0.348952:0.884404:0.331906:0.884404:0.000000:0.000000:0.000000
y:@0.581466:0.901194:0.588948:0.901194:0.588948:0.884833:0.581466:0.884833:0.000000
f x:@0.610674:0.901194:0.636823:0.901194:0.636823:0.884833:0.610674:0.884833:0.000000:0.000000:0.000000
dy:@0.661240:0.892426:0.677935:0.892426:0.677935:0.876065:0.661240:0.876065:0.000000:0.000000
dx:@0.661250:0.912039:0.677927:0.912039:0.677927:0.895677:0.661250:0.895677:0.000000:0.000000
’():@0.619583:0.901194:0.643521:0.901194:0.643521:0.884805:0.619583:0.884805:0.000000:0.000000:0.000000
=:@0.597636:0.900779:0.607753:0.900779:0.607753:0.883837:0.597636:0.883837:0.000000
=:@0.646484:0.900779:0.656601:0.900779:0.656601:0.883837:0.646484:0.883837:0.000000
 que se lee como: “la derivada :@0.684485:0.900766:0.907694:0.900766:0.907694:0.884377:0.684485:0.884377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   respecto de   es igual a   prima de  ”.:@0.287480:0.917362:0.589268:0.917362:0.589268:0.900973:0.287480:0.900973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.310478:0.917362:0.317960:0.917362:0.317960:0.901001:0.310478:0.901001:0.000000
x:@0.412989:0.917362:0.420452:0.917362:0.420452:0.901001:0.412989:0.901001:0.000000
f:@0.496706:0.917362:0.501405:0.917362:0.501405:0.901001:0.496706:0.901001:0.000000
x:@0.575521:0.917362:0.582984:0.917362:0.582984:0.901001:0.575521:0.901001:0.000000
nidad de conocimientos:@0.306727:0.417475:0.480398:0.417475:0.480398:0.402111:0.306727:0.402111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.418261:0.297460:0.418261:0.297460:0.401126:0.284892:0.401126:0.000000
Pienso y progreso:@0.294883:0.360664:0.417347:0.360664:0.417347:0.345300:0.294883:0.345300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué significado tiene la razón de cambio de la temperatura?:@0.294883:0.378059:0.702799:0.378059:0.702799:0.363160:0.294883:0.363160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La temperatura del motor (T) de un auto en grados Celsius, después de estar encen-:@0.287495:0.168345:0.903620:0.168345:0.903620:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dido durante   minutos, está dada por la función: :@0.287495:0.184941:0.648565:0.184941:0.648565:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.387279:0.184941:0.392660:0.184941:0.392660:0.168580:0.387279:0.168580:0.000000
Tt:@0.527405:0.206365:0.547804:0.206365:0.547804:0.190003:0.527405:0.190003:0.000000:0.000000
t:@0.578344:0.206358:0.583725:0.206358:0.583725:0.189997:0.578344:0.189997:0.000000
t:@0.623215:0.206358:0.628596:0.206358:0.628596:0.189997:0.623215:0.189997:0.000000
() 3:@0.537510:0.206358:0.579267:0.206358:0.579267:0.189969:0.537510:0.189969:0.000000:0.000000:0.000000:0.000000
=:@0.557246:0.205943:0.567363:0.205943:0.567363:0.189001:0.557246:0.189001:0.000000
−:@0.594986:0.205943:0.605102:0.205943:0.605102:0.189001:0.594986:0.189001:0.000000
+:@0.632467:0.205943:0.642584:0.205943:0.642584:0.189001:0.632467:0.189001:0.000000
12:@0.606245:0.206358:0.624140:0.206358:0.624140:0.189969:0.606245:0.189969:0.000000:0.000000
30:@0.645203:0.206358:0.663089:0.206358:0.663089:0.189969:0.645203:0.189969:0.000000:0.000000
2:@0.585097:0.198697:0.590308:0.198697:0.590308:0.189199:0.585097:0.189199:0.000000
a):@0.287495:0.226737:0.303011:0.226737:0.303011:0.209601:0.287495:0.209601:0.000000:0.000000
  ¿Cuál es la razón de cambio promedio de la temperatura entre los minutos   = 2 :@0.303011:0.226737:0.907687:0.226737:0.907687:0.210348:0.303011:0.210348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.869827:0.226737:0.875208:0.226737:0.875208:0.210375:0.869827:0.210375:0.000000
y   = 4?:@0.315985:0.243333:0.368577:0.243333:0.368577:0.226944:0.315985:0.226944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.328128:0.243333:0.333509:0.243333:0.333509:0.226972:0.328128:0.226972:0.000000
b):@0.287495:0.267052:0.304154:0.267052:0.304154:0.249916:0.287495:0.249916:0.000000:0.000000
  ¿Cuál es la razón de cambio promedio entre   = 2 y   = 2 + ∆  para valores :@0.304154:0.267052:0.855802:0.267052:0.855802:0.250663:0.304154:0.250663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.642631:0.267052:0.648012:0.267052:0.648012:0.250691:0.642631:0.250691:0.000000
t:@0.692238:0.267052:0.697619:0.267052:0.697619:0.250691:0.692238:0.250691:0.000000
t:@0.754524:0.267052:0.759904:0.267052:0.759904:0.250691:0.754524:0.250691:0.000000
pequeños de ∆  como: 0,5; 0,1; 0,001; 0,0001?:@0.315985:0.283648:0.645250:0.283648:0.645250:0.267259:0.315985:0.267259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.427195:0.283648:0.432576:0.283648:0.432576:0.267287:0.427195:0.267287:0.000000
c):@0.287495:0.307367:0.301593:0.307367:0.301593:0.290232:0.287495:0.290232:0.000000:0.000000
  ¿Cuál es la derivada  ’( ) y evalúala en   = 2?:@0.301593:0.307367:0.633161:0.307367:0.633161:0.290978:0.301593:0.290978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T t:@0.463129:0.307367:0.484726:0.307367:0.484726:0.291006:0.463129:0.291006:0.000000:0.000000:0.000000
t:@0.592712:0.307367:0.598093:0.307367:0.598093:0.291006:0.592712:0.291006:0.000000
d):@0.287495:0.331086:0.304265:0.331086:0.304265:0.313951:0.287495:0.313951:0.000000:0.000000
  ¿Cuál es la interpretación geométrica de la derivada y qué significa  ’(2)?:@0.304265:0.331086:0.844836:0.331086:0.844836:0.314697:0.304265:0.314697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.782642:0.331086:0.786678:0.331086:0.786678:0.314697:0.782642:0.314697:0.000000
T:@0.807722:0.331086:0.815849:0.331086:0.815849:0.314725:0.807722:0.314725:0.000000
:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Derivada por incrementos:@0.286308:0.075160:0.670118:0.075160:0.670118:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando salgan de viaje, :@0.086149:0.666359:0.247237:0.666359:0.247237:0.651460:0.086149:0.651460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pide a tus padres que :@0.099786:0.680190:0.247239:0.680190:0.247239:0.665291:0.099786:0.665291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
revisen el vehículo no :@0.098730:0.694020:0.247239:0.694020:0.247239:0.679121:0.098730:0.679121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo como una medida de :@0.068358:0.707850:0.247240:0.707850:0.247240:0.692951:0.068358:0.692951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precaución, sino como un :@0.070151:0.721681:0.247240:0.721681:0.247240:0.706782:0.070151:0.706782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acto de responsabilidad. :@0.081258:0.735511:0.247237:0.735511:0.247237:0.720612:0.081258:0.720612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los niveles de aceite,:@0.104309:0.749341:0.243570:0.749341:0.243570:0.734442:0.104309:0.734442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el funcionamiento de:@0.100272:0.763172:0.243570:0.763172:0.243570:0.748273:0.100272:0.748273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los frenos, entre otros;:@0.097625:0.777002:0.243570:0.777002:0.243570:0.762103:0.097625:0.762103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un pequeño descuido :@0.095614:0.790832:0.247240:0.790832:0.247240:0.775933:0.095614:0.775933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecánico puede :@0.130610:0.804663:0.247240:0.804663:0.247240:0.789764:0.130610:0.789764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convertirse en una :@0.119503:0.818493:0.247240:0.818493:0.247240:0.803594:0.119503:0.803594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tragedia, mientras que :@0.093738:0.832323:0.247240:0.832323:0.247240:0.817424:0.093738:0.817424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una revisión puede :@0.115583:0.846154:0.247240:0.846154:0.247240:0.831254:0.115583:0.831254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
marcar la diferencia entre :@0.074825:0.859984:0.247239:0.859984:0.247239:0.845085:0.074825:0.845085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un viaje seguro y uno :@0.100422:0.873814:0.247239:0.873814:0.247239:0.858915:0.100422:0.858915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lleno de riesgos.:@0.135937:0.887644:0.243570:0.887644:0.243570:0.872745:0.135937:0.872745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¡Tomen siempre :@0.143175:0.905033:0.246585:0.905033:0.246585:0.890159:0.143175:0.890159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precauciones!:@0.155856:0.918863:0.243572:0.918863:0.243572:0.903989:0.155856:0.903989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.129537:0.633384:0.238093:0.633384:0.238093:0.616484:0.129537:0.616484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A medida que ∆  tiende a cero; ∆:@0.610209:0.661140:0.858291:0.661140:0.858291:0.644751:0.610209:0.644751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.730430:0.661140:0.737894:0.661140:0.737894:0.644779:0.730430:0.644779:0.000000
x:@0.858291:0.661140:0.865754:0.661140:0.865754:0.644779:0.858291:0.644779:0.000000
 0, :@0.886962:0.661140:0.908080:0.661140:0.908080:0.644751:0.886962:0.644751:0.000000:0.000000:0.000000:0.000000
la secante se convierte en tangente, :@0.610215:0.677737:0.908115:0.677737:0.908115:0.661348:0.610215:0.661348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces la pendiente de la tangente es::@0.610215:0.694333:0.904022:0.694333:0.904022:0.677944:0.610215:0.677944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.609895:0.723457:0.624527:0.723457:0.624527:0.707096:0.609895:0.707096:0.000000
fx:@0.687844:0.713513:0.712998:0.713513:0.712998:0.697152:0.687844:0.697152:0.000000:0.000000
x:@0.741303:0.713513:0.748766:0.713513:0.748766:0.697152:0.741303:0.697152:0.000000
f x:@0.772298:0.713513:0.793637:0.713513:0.793637:0.697152:0.772298:0.697152:0.000000:0.000000:0.000000
x:@0.745228:0.734314:0.752691:0.734314:0.752691:0.717953:0.745228:0.717953:0.000000
x:@0.662875:0.730019:0.667200:0.730019:0.667200:0.720537:0.662875:0.720537:0.000000
tan:@0.623873:0.725474:0.637713:0.725474:0.637713:0.715976:0.623873:0.715976:0.000000:0.000000:0.000000
lim:@0.658896:0.723457:0.681728:0.723457:0.681728:0.707068:0.658896:0.707068:0.000000:0.000000:0.000000
():@0.779505:0.713513:0.800310:0.713513:0.800310:0.697124:0.779505:0.697124:0.000000:0.000000
=:@0.642809:0.723042:0.652926:0.723042:0.652926:0.706100:0.642809:0.706100:0.000000
+:@0.717091:0.713098:0.727207:0.713098:0.727207:0.696156:0.717091:0.696156:0.000000
(:@0.697060:0.714852:0.649056:0.714852:0.649056:0.693200:0.697060:0.693200:0.000000
):@0.751200:0.714852:0.703196:0.714852:0.703196:0.693200:0.751200:0.693200:0.000000
−:@0.759881:0.713092:0.769998:0.713092:0.769998:0.696150:0.759881:0.696150:0.000000
→:@0.668475:0.729778:0.679016:0.729778:0.679016:0.719960:0.668475:0.719960:0.000000
0:@0.679262:0.730019:0.684473:0.730019:0.684473:0.720521:0.679262:0.720521:0.000000
A esta expresión se le conoce como la :@0.610209:0.751117:0.908018:0.751117:0.908018:0.734728:0.610209:0.734728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivada por incrementos, que geomé-:@0.610209:0.767713:0.904034:0.767713:0.904034:0.751324:0.610209:0.751324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tricamente representa la pendiente de :@0.610209:0.784309:0.908073:0.784309:0.908073:0.767920:0.610209:0.767920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la recta tangente en un punto.:@0.610209:0.800906:0.833179:0.800906:0.833179:0.784517:0.610209:0.784517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.613140:0.832166:0.639289:0.832166:0.639289:0.815805:0.613140:0.815805:0.000000:0.000000
fx:@0.693982:0.822222:0.719136:0.822222:0.719136:0.805861:0.693982:0.805861:0.000000:0.000000
x:@0.747422:0.822222:0.754886:0.822222:0.754886:0.805861:0.747422:0.805861:0.000000
f x:@0.778418:0.822222:0.799757:0.822222:0.799757:0.805861:0.778418:0.805861:0.000000:0.000000:0.000000
x:@0.751348:0.843023:0.758811:0.843023:0.758811:0.826662:0.751348:0.826662:0.000000
x:@0.669011:0.838728:0.673336:0.838728:0.673336:0.829245:0.669011:0.829245:0.000000
’( ):@0.622039:0.832166:0.645995:0.832166:0.645995:0.815777:0.622039:0.815777:0.000000:0.000000:0.000000:0.000000
lim:@0.665031:0.832166:0.687881:0.832166:0.687881:0.815777:0.665031:0.815777:0.000000:0.000000:0.000000
():@0.785640:0.822222:0.806444:0.822222:0.806444:0.805833:0.785640:0.805833:0.000000:0.000000
=:@0.648962:0.831751:0.659079:0.831751:0.659079:0.814809:0.648962:0.814809:0.000000
+:@0.723244:0.821807:0.733360:0.821807:0.733360:0.804865:0.723244:0.804865:0.000000
(:@0.703198:0.823561:0.655194:0.823561:0.655194:0.801909:0.703198:0.801909:0.000000
):@0.757338:0.823561:0.709334:0.823561:0.709334:0.801909:0.757338:0.801909:0.000000
−:@0.766006:0.821801:0.776123:0.821801:0.776123:0.804859:0.766006:0.804859:0.000000
→:@0.674613:0.838487:0.685154:0.838487:0.685154:0.828668:0.674613:0.828668:0.000000
0:@0.685400:0.838728:0.690611:0.838728:0.690611:0.829229:0.685400:0.829229:0.000000
La temperatura del motor de :@0.076177:0.416588:0.253029:0.416588:0.253029:0.403179:0.076177:0.403179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un auto varía con el tiempo.:@0.076177:0.429160:0.243923:0.429160:0.243923:0.415750:0.076177:0.415750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.356904:0.817898:0.363779:0.817898:0.363779:0.805808:0.356904:0.805808:0.000000
y:@0.358829:0.678199:0.364000:0.678199:0.364000:0.667612:0.358829:0.667612:0.000000
x:@0.573779:0.816298:0.578950:0.816298:0.578950:0.805710:0.573779:0.805710:0.000000
x +  x:@0.448809:0.817520:0.485048:0.817520:0.485048:0.805419:0.448809:0.805419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ :@0.467585:0.818013:0.479138:0.818013:0.479138:0.806687:0.467585:0.806687:0.000000:0.000000
x:@0.389492:0.816212:0.395403:0.816212:0.395403:0.804112:0.389492:0.804112:0.000000
f x:@0.346365:0.792374:0.359874:0.792374:0.359874:0.780273:0.346365:0.780273:0.000000:0.000000:0.000000
( ):@0.350158:0.792374:0.363680:0.792374:0.363680:0.780284:0.350158:0.780284:0.000000:0.000000:0.000000
P:@0.384105:0.786449:0.390900:0.786449:0.390900:0.774349:0.384105:0.774349:0.000000
O:@0.451798:0.732436:0.460750:0.732436:0.460750:0.720335:0.451798:0.720335:0.000000
f x +  x:@0.467183:0.775848:0.511021:0.775848:0.511021:0.763747:0.467183:0.763747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.470976:0.775848:0.474782:0.775848:0.474782:0.763758:0.470976:0.763758:0.000000
Δ :@0.493558:0.776341:0.505111:0.776341:0.505111:0.765015:0.493558:0.765015:0.000000:0.000000
) −  ( ):@0.511021:0.775848:0.545812:0.775848:0.545812:0.763758:0.511021:0.763758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.528497:0.775848:0.542006:0.775848:0.542006:0.763747:0.528497:0.763747:0.000000:0.000000:0.000000
f x +  x:@0.316103:0.738008:0.359941:0.738008:0.359941:0.725908:0.316103:0.725908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.319896:0.738008:0.323702:0.738008:0.323702:0.725918:0.319896:0.725918:0.000000
Δ :@0.342478:0.738501:0.354031:0.738501:0.354031:0.727175:0.342478:0.727175:0.000000:0.000000
):@0.359941:0.738008:0.363747:0.738008:0.363747:0.725918:0.359941:0.725918:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta secante:@0.384147:0.744850:0.448819:0.744850:0.448819:0.734271:0.384147:0.734271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ :@0.418293:0.801616:0.429846:0.801616:0.429846:0.790290:0.418293:0.790290:0.000000:0.000000
x:@0.429846:0.801123:0.435756:0.801123:0.435756:0.789023:0.429846:0.789023:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.356904:0.817898:0.363779:0.817898:0.363779:0.805808:0.356904:0.805808:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta tangente:@0.452830:0.750122:0.524550:0.750122:0.524550:0.739543:0.452830:0.739543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.33.:@0.298180:0.943689:0.353208:0.943689:0.353208:0.931226:0.298180:0.931226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.353207:0.943689:0.358755:0.943689:0.358755:0.931397:0.353207:0.931397:0.000000:0.000000
Calcular de manera intuitiva la derivada de funciones cuadráticas, a partir del cociente incremental.:@0.358755:0.943689:0.884759:0.943689:0.884759:0.931770:0.358755:0.931770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.47.:@0.298180:0.955004:0.353208:0.955004:0.353208:0.942542:0.298180:0.942542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular de manera intuitiva la derivada de funciones polinomiales de grado ≤4 a partir del cociente :@0.356931:0.955004:0.906597:0.955004:0.906597:0.943085:0.356931:0.943085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incremental.:@0.298180:0.966320:0.364357:0.966320:0.364357:0.954401:0.298180:0.954401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000