125:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603971:0.043660:0.926928:0.043660:0.926928:0.024915:0.603971:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.1 Velocidad media e instantánea y aceleración:@0.073089:0.263705:0.448378:0.263705:0.448378:0.246758:0.073089:0.246758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En física, en el estudio de la cinemática de un cuerpo, una de las aplicaciones de las :@0.073089:0.291067:0.710383:0.291067:0.710383:0.274633:0.073089:0.274633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivadas de funciones reales es el cálculo de la velocidad y de la aceleración de cuerpos.:@0.073089:0.307709:0.706823:0.307709:0.706823:0.291275:0.073089:0.291275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos un automóvil que se mueve en una vía que suponemos horizontal y recta. :@0.073089:0.335071:0.710416:0.335071:0.710416:0.318637:0.073089:0.318637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conductor observa un obstáculo en la vía y frena. La función de desplazamiento de :@0.073089:0.351713:0.710039:0.351713:0.710039:0.335279:0.073089:0.335279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este automóvil, medido en metros, está definida como sigue::@0.073089:0.368354:0.514749:0.368354:0.514749:0.351921:0.073089:0.351921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t:@0.262647:0.402858:0.280815:0.402858:0.280815:0.386452:0.262647:0.386452:0.000000:0.000000:0.000000
( ) = 3 + 15  – 0,5  – 0,025 ,    > 0.:@0.270635:0.402858:0.516815:0.402867:0.516815:0.386433:0.270635:0.386425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.349823:0.402858:0.355198:0.402858:0.355198:0.386452:0.349823:0.386452:0.000000
t:@0.393081:0.402858:0.398455:0.402858:0.398455:0.386452:0.393081:0.386452:0.000000
2:@0.398392:0.396803:0.403629:0.396803:0.403629:0.387222:0.398392:0.387222:0.000000
t t:@0.459337:0.402867:0.485964:0.402867:0.485964:0.386461:0.459337:0.386461:0.000000:0.000000:0.000000
4:@0.464645:0.396803:0.469603:0.396803:0.469603:0.387239:0.464645:0.387239:0.000000
Calculamos los desplazamientos en los cinco primeros segundos::@0.073089:0.430229:0.546007:0.430229:0.546007:0.413795:0.073089:0.413795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.073089:0.457591:0.081152:0.457591:0.081152:0.441185:0.073089:0.441185:0.000000
(1) = 17,475 m,   (2) = 30,6 m,   (3) = 41,475 m,   (4) = 48,6 m,  (5) = 49,875 m.:@0.081078:0.457591:0.640180:0.457591:0.640180:0.441157:0.081078:0.441157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.195958:0.457591:0.204020:0.457591:0.204020:0.441185:0.195958:0.441185:0.000000
S:@0.301026:0.457591:0.309089:0.457591:0.309089:0.441185:0.301026:0.441185:0.000000
S:@0.423895:0.457591:0.431957:0.457591:0.431957:0.441185:0.423895:0.441185:0.000000
S:@0.525024:0.457591:0.533087:0.457591:0.533087:0.441185:0.525024:0.441185:0.000000
Calculamos la velocidad  ( ) en cada uno de estos instantes. Para el efecto, calculamos la :@0.073034:0.484953:0.710586:0.484953:0.710586:0.468519:0.073034:0.468519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.250609:0.484953:0.268446:0.484953:0.268446:0.468547:0.250609:0.468547:0.000000:0.000000:0.000000
derivada de la función  . Se tiene::@0.073016:0.501595:0.314585:0.501595:0.314585:0.485161:0.073016:0.485161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.238055:0.501595:0.246118:0.501595:0.246118:0.485189:0.238055:0.485189:0.000000
v t:@0.224563:0.533852:0.242399:0.533852:0.242399:0.517446:0.224563:0.517446:0.000000:0.000000:0.000000
( ) =  lím  :@0.232220:0.533852:0.295200:0.533859:0.295200:0.517425:0.232220:0.517419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.266006:0.542526:0.272482:0.542526:0.272482:0.531340:0.266006:0.531340:0.000000
→:@0.272437:0.541965:0.283172:0.541965:0.283172:0.531927:0.272437:0.531927:0.000000
0:@0.283116:0.542526:0.289241:0.542526:0.289241:0.531321:0.283116:0.531321:0.000000
S t + h:@0.304795:0.525495:0.349764:0.525495:0.349764:0.509089:0.304795:0.509089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.312784:0.525495:0.317662:0.525495:0.317662:0.509061:0.312784:0.509061:0.000000
) –  (:@0.349727:0.525495:0.384406:0.525495:0.384406:0.509061:0.349727:0.509061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t):@0.371540:0.525495:0.394512:0.525495:0.394512:0.509089:0.371540:0.509089:0.000000:0.000000:0.000000:0.000000
h:@0.344904:0.541887:0.354402:0.541887:0.354402:0.525481:0.344904:0.525481:0.000000
= 15 –   – 0,1 ,    > 0.:@0.404120:0.533857:0.554806:0.533857:0.554806:0.517424:0.404120:0.517424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.453783:0.533857:0.459158:0.533857:0.459158:0.517451:0.453783:0.517451:0.000000
t t:@0.497040:0.533857:0.523955:0.533857:0.523955:0.517451:0.497040:0.517451:0.000000:0.000000:0.000000
3:@0.502365:0.527794:0.507602:0.527794:0.507602:0.518213:0.502365:0.518213:0.000000
Desde el punto de vista físico, la velocidad mide el cambio de desplazamiento instantáneo. :@0.073088:0.575892:0.710724:0.575892:0.710724:0.559458:0.073088:0.559458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notemos que la velocidad se mide en :@0.073088:0.603628:0.361060:0.603628:0.361060:0.587195:0.073088:0.587195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros:@0.379910:0.595503:0.428034:0.595503:0.428034:0.579097:0.379910:0.579097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundos:@0.370688:0.611895:0.437230:0.611895:0.437230:0.595489:0.370688:0.595489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 , lo que se abrevia :@0.445955:0.603630:0.590220:0.603630:0.590220:0.587196:0.445955:0.587196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.593369:0.596156:0.607984:0.596156:0.607984:0.579750:0.593369:0.579750:0.000000
s:@0.597492:0.612548:0.603861:0.612548:0.603861:0.596142:0.597492:0.596142:0.000000
 (también en :@0.610248:0.603631:0.710328:0.603631:0.710328:0.587197:0.610248:0.587197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilómetros:@0.074843:0.624786:0.147180:0.624786:0.147180:0.608380:0.074843:0.608380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horas:@0.091538:0.641178:0.130495:0.641178:0.130495:0.624772:0.091538:0.624772:0.000000:0.000000:0.000000:0.000000:0.000000
 , que se escribe :@0.148895:0.631360:0.267670:0.631360:0.267670:0.614926:0.148895:0.614926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.268208:0.622998:0.290462:0.622998:0.290462:0.606592:0.268208:0.606592:0.000000:0.000000
h:@0.274595:0.639391:0.284093:0.639391:0.284093:0.622985:0.274595:0.622985:0.000000
 ).  En los automotores se tiene un dispositivo que mide la :@0.291125:0.631361:0.710600:0.631361:0.710600:0.614927:0.291125:0.614927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad llamado velocímetro. En el panel de los automotores, la velocidad a la que este :@0.073091:0.659097:0.710501:0.659097:0.710501:0.642664:0.073091:0.642664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se mueve se marca en :@0.073091:0.686834:0.238331:0.686834:0.238331:0.670400:0.073091:0.670400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
km:@0.238853:0.679365:0.261108:0.679365:0.261108:0.662959:0.238853:0.662959:0.000000:0.000000
h:@0.245241:0.695757:0.254739:0.695757:0.254739:0.679351:0.245241:0.679351:0.000000
 . :@0.261770:0.686840:0.272962:0.686840:0.272962:0.670406:0.261770:0.670406:0.000000:0.000000:0.000000
Calculamos algunos valores de velocidades::@0.073096:0.728875:0.389992:0.728875:0.389992:0.712441:0.073096:0.712441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.133269:0.767331:0.141000:0.767331:0.141000:0.750925:0.133269:0.750925:0.000000
(1) = 13,9 :@0.140927:0.767331:0.212144:0.767331:0.212144:0.750897:0.140927:0.750897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.214178:0.758961:0.228793:0.758961:0.228793:0.742555:0.214178:0.742555:0.000000
s:@0.218301:0.775353:0.224670:0.775353:0.224670:0.758947:0.218301:0.758947:0.000000
 ,   (2) = 12,2 :@0.230891:0.767323:0.324732:0.767323:0.324732:0.750890:0.230891:0.750890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.245856:0.767323:0.253588:0.767323:0.253588:0.750917:0.245856:0.750917:0.000000
m:@0.326775:0.760747:0.341390:0.760747:0.341390:0.744341:0.326775:0.744341:0.000000
s:@0.330898:0.777140:0.337267:0.777140:0.337267:0.760734:0.330898:0.760734:0.000000
 , (3) = 9,3 :@0.343489:0.767321:0.416841:0.767321:0.416841:0.750887:0.343489:0.750887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.418855:0.759855:0.433470:0.759855:0.433470:0.743449:0.418855:0.743449:0.000000
s:@0.422978:0.776247:0.429347:0.776247:0.429347:0.759841:0.422978:0.759841:0.000000
 ,   (4) = 4,6 :@0.435568:0.767330:0.520499:0.767330:0.520499:0.750896:0.435568:0.750896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.450533:0.767330:0.458264:0.767330:0.458264:0.750924:0.450533:0.750924:0.000000
m:@0.522551:0.760747:0.537166:0.760747:0.537166:0.744341:0.522551:0.744341:0.000000
s:@0.526674:0.777140:0.533043:0.777140:0.533043:0.760734:0.526674:0.760734:0.000000
 ,   (5) = 2,5 :@0.539265:0.767321:0.624196:0.767321:0.624196:0.750887:0.539265:0.750887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.554230:0.767321:0.561961:0.767321:0.561961:0.750915:0.554230:0.750915:0.000000
m:@0.626246:0.760747:0.640861:0.760747:0.640861:0.744341:0.626246:0.744341:0.000000
s:@0.630369:0.777140:0.636738:0.777140:0.636738:0.760734:0.630369:0.760734:0.000000
.:@0.642960:0.767321:0.646162:0.767321:0.646162:0.750887:0.642960:0.750887:0.000000
Observamos que la velocidad decrece y que, en casi cinco segundos, el automóvil se :@0.073089:0.801825:0.710328:0.801825:0.710328:0.785391:0.073089:0.785391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
detiene, habiendo recorrido aproximadamente 49 m.:@0.073089:0.818467:0.458193:0.818467:0.458193:0.802033:0.073089:0.802033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La aceleración se denota con  ( ) y se define como  ( ) = :@0.073089:0.850724:0.486590:0.850724:0.486590:0.834290:0.073089:0.834290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.287644:0.850724:0.307009:0.850724:0.307009:0.834318:0.287644:0.834318:0.000000:0.000000:0.000000
a t:@0.443609:0.850724:0.462973:0.850724:0.462973:0.834318:0.443609:0.834318:0.000000:0.000000:0.000000
dv:@0.488710:0.842372:0.505626:0.842372:0.505626:0.825966:0.488710:0.825966:0.000000:0.000000
dt:@0.489888:0.858764:0.504448:0.858764:0.504448:0.842358:0.489888:0.842358:0.000000:0.000000
 ( ) = :@0.507762:0.850734:0.545496:0.850734:0.545496:0.834301:0.507762:0.834301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.516505:0.850734:0.521880:0.850734:0.521880:0.834328:0.516505:0.834328:0.000000
h:@0.545409:0.857618:0.551885:0.857618:0.551885:0.846432:0.545409:0.846432:0.000000
→:@0.551840:0.857057:0.562576:0.857057:0.562576:0.847018:0.551840:0.847018:0.000000
0:@0.562520:0.857618:0.568644:0.857618:0.568644:0.846413:0.562520:0.846413:0.000000
lím:@0.545409:0.846841:0.568087:0.846841:0.568087:0.830407:0.545409:0.830407:0.000000:0.000000:0.000000
 :@0.570572:0.850738:0.574603:0.850738:0.574603:0.834304:0.570572:0.834304:0.000000
v t + h:@0.582157:0.844160:0.626795:0.844160:0.626795:0.827753:0.582157:0.827753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.589814:0.844160:0.594692:0.844160:0.594692:0.827726:0.589814:0.827726:0.000000
) –  (:@0.626758:0.844160:0.661106:0.844160:0.661106:0.827726:0.626758:0.827726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t):@0.648570:0.844160:0.671211:0.844160:0.671211:0.827753:0.648570:0.827753:0.000000:0.000000:0.000000:0.000000
h:@0.621935:0.860552:0.631433:0.860552:0.631433:0.844146:0.621935:0.844146:0.000000
.:@0.678777:0.850733:0.681980:0.850733:0.681980:0.834299:0.678777:0.834299:0.000000
Desde el punto de vista físico, la aceleración mide el cambio de velocidad instantáneo. :@0.073068:0.878095:0.710732:0.878095:0.710732:0.861661:0.073068:0.861661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado que:@0.073068:0.894737:0.145334:0.894737:0.145334:0.878303:0.073068:0.878303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.201642:0.926994:0.219479:0.926994:0.219479:0.910588:0.201642:0.910588:0.000000:0.000000:0.000000
( ) = lím  :@0.209300:0.926994:0.272221:0.927006:0.272221:0.910572:0.209300:0.910560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.243027:0.936562:0.249503:0.936562:0.249503:0.925376:0.243027:0.925376:0.000000
→:@0.249458:0.936001:0.260193:0.936001:0.260193:0.925962:0.249458:0.925962:0.000000
0:@0.260137:0.936562:0.266262:0.936562:0.266262:0.925357:0.260137:0.925357:0.000000
S t + h:@0.278732:0.922210:0.323701:0.922210:0.323701:0.905804:0.278732:0.905804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.286721:0.922210:0.291599:0.922210:0.291599:0.905776:0.286721:0.905776:0.000000
) –  (:@0.323664:0.922210:0.358343:0.922210:0.358343:0.905776:0.323664:0.905776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t):@0.345477:0.922210:0.368449:0.922210:0.368449:0.905804:0.345477:0.905804:0.000000:0.000000:0.000000:0.000000
h:@0.318841:0.938602:0.328339:0.938602:0.328339:0.922196:0.318841:0.922196:0.000000
 , tenemos que  ( ) = :@0.374983:0.927009:0.529788:0.927009:0.529788:0.910575:0.374983:0.910575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.486807:0.927009:0.506172:0.927009:0.506172:0.910603:0.486807:0.910603:0.000000:0.000000:0.000000
d S:@0.531519:0.918637:0.553964:0.918637:0.553964:0.902230:0.531519:0.902230:0.000000:0.000000:0.000000
2:@0.540712:0.912573:0.545949:0.912573:0.545949:0.902992:0.540712:0.902992:0.000000
dt:@0.532869:0.935029:0.547429:0.935029:0.547429:0.918623:0.532869:0.918623:0.000000:0.000000
2:@0.547374:0.928962:0.552611:0.928962:0.552611:0.919381:0.547374:0.919381:0.000000
 ( ).:@0.555706:0.926999:0.577758:0.926999:0.577758:0.910566:0.555706:0.910566:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.564449:0.926999:0.569824:0.926999:0.569824:0.910593:0.564449:0.910593:0.000000
Tema 2. Interpretación física de la primera  :@0.073089:0.098150:0.709066:0.098150:0.709066:0.066909:0.073089:0.066909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.125887:0.079849:0.125887:0.079849:0.094645:0.073089:0.094645:0.000000
         y segunda derivada:@0.133331:0.125887:0.486014:0.125887:0.486014:0.094645:0.133331:0.094645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué aplicaciones tiene la derivada de una función polinomial ≤4?:@0.101550:0.192390:0.583058:0.192390:0.583058:0.175956:0.101550:0.175956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.110658:0.159256:0.245381:0.159256:0.245381:0.142309:0.110658:0.142309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para funciones :@0.740294:0.316051:0.840203:0.316051:0.840203:0.301111:0.740294:0.301111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomiales de grado 2, :@0.740294:0.331180:0.906971:0.331180:0.906971:0.316240:0.740294:0.316240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la derivada se aplica en :@0.740294:0.346309:0.896228:0.346309:0.896228:0.331369:0.740294:0.331369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diversos contextos, como::@0.740294:0.361438:0.911208:0.361438:0.911208:0.346498:0.740294:0.346498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La obtención de la :@0.740294:0.383715:0.866393:0.383715:0.866393:0.368775:0.740294:0.368775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente de la recta :@0.740294:0.398844:0.884438:0.398844:0.884438:0.383904:0.740294:0.383904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente a la gráfica del :@0.740294:0.413973:0.902065:0.413973:0.902065:0.399033:0.740294:0.399033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomio en un punto :@0.740294:0.429102:0.898773:0.429102:0.898773:0.414162:0.740294:0.414162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asignado. :@0.740294:0.444231:0.806861:0.444231:0.806861:0.429291:0.740294:0.429291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cálculo de velocidades y :@0.740294:0.459360:0.919283:0.459360:0.919283:0.444420:0.740294:0.444420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aceleraciones de cuerpos :@0.740294:0.474489:0.911424:0.474489:0.911424:0.459549:0.740294:0.459549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en movimiento. :@0.740294:0.489618:0.848210:0.489618:0.848210:0.474678:0.740294:0.474678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado un polinomio :@0.740294:0.504747:0.873596:0.504747:0.873596:0.489807:0.740294:0.489807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p(x) :@0.873412:0.504747:0.900286:0.504747:0.900286:0.489832:0.873412:0.489832:0.000000:0.000000:0.000000:0.000000:0.000000
de grado 2 definido en un :@0.740294:0.519876:0.916076:0.519876:0.916076:0.504936:0.740294:0.504936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo [:@0.740294:0.535005:0.806414:0.535005:0.806414:0.520065:0.740294:0.520065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a,b:@0.806292:0.535005:0.826021:0.535005:0.826021:0.520090:0.806292:0.520090:0.000000:0.000000:0.000000
], se tiene: :@0.825971:0.535005:0.894647:0.535005:0.894647:0.520065:0.825971:0.520065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente: :@0.740294:0.550134:0.814177:0.550134:0.814177:0.535194:0.740294:0.535194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.789575:0.578798:0.804190:0.578798:0.804190:0.562392:0.789575:0.562392:0.000000
 = :@0.804117:0.578798:0.823003:0.578798:0.823003:0.562364:0.804117:0.562364:0.000000:0.000000:0.000000
dp:@0.828441:0.571297:0.846885:0.571297:0.846885:0.554890:0.828441:0.554890:0.000000:0.000000
dx:@0.829343:0.586538:0.845983:0.586538:0.845983:0.570132:0.829343:0.570132:0.000000:0.000000
 ( ):@0.848818:0.578799:0.871624:0.578799:0.871624:0.562365:0.848818:0.562365:0.000000:0.000000:0.000000:0.000000
a:@0.857561:0.578799:0.866820:0.578799:0.866820:0.562393:0.857561:0.562393:0.000000
Velocidad: :@0.740294:0.604333:0.811674:0.604333:0.811674:0.589393:0.740294:0.589393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.795171:0.631212:0.813007:0.631212:0.813007:0.614806:0.795171:0.614806:0.000000:0.000000:0.000000
( ) = :@0.802828:0.631212:0.836624:0.631212:0.836624:0.614778:0.802828:0.614778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dp:@0.842056:0.625497:0.860500:0.625497:0.860500:0.609091:0.842056:0.609091:0.000000:0.000000
dt:@0.844007:0.640738:0.858567:0.640738:0.858567:0.624332:0.844007:0.624332:0.000000:0.000000
 :@0.866040:0.631225:0.870072:0.631225:0.870072:0.614791:0.866040:0.614791:0.000000
Aceleración::@0.740294:0.656747:0.820693:0.656747:0.820693:0.641807:0.740294:0.641807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.748274:0.691443:0.767639:0.691443:0.767639:0.675037:0.748274:0.675037:0.000000:0.000000:0.000000
( ) = :@0.757459:0.691443:0.791255:0.691443:0.791255:0.675009:0.757459:0.675009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dv(t):@0.794545:0.684833:0.826371:0.684833:0.826371:0.668427:0.794545:0.668427:0.000000:0.000000:0.000000:0.000000:0.000000
dt:@0.803196:0.700074:0.817756:0.700074:0.817756:0.683668:0.803196:0.683668:0.000000:0.000000
 = :@0.829703:0.691448:0.848589:0.691448:0.848589:0.675014:0.829703:0.675014:0.000000:0.000000:0.000000
d:@0.854698:0.685727:0.863957:0.685727:0.863957:0.669321:0.854698:0.669321:0.000000
dt:@0.852048:0.700968:0.866608:0.700968:0.866608:0.684562:0.852048:0.684562:0.000000:0.000000
 :@0.870087:0.691454:0.874118:0.691454:0.874118:0.675021:0.870087:0.675021:0.000000
1 2:@0.874031:0.698385:0.912930:0.698385:0.912930:0.669496:0.874031:0.669496:0.000000:0.000000:0.000000
dp:@0.884220:0.684833:0.902664:0.684833:0.902664:0.668427:0.884220:0.668427:0.000000:0.000000
dt:@0.886171:0.700074:0.900731:0.700074:0.900731:0.683668:0.886171:0.683668:0.000000:0.000000
 :@0.912930:0.691443:0.916962:0.691443:0.916962:0.675009:0.912930:0.675009:0.000000
= :@0.806757:0.722480:0.821686:0.722480:0.821686:0.706046:0.806757:0.706046:0.000000:0.000000
d p:@0.826202:0.715865:0.849844:0.715865:0.849844:0.699459:0.826202:0.699459:0.000000:0.000000:0.000000
2:@0.835394:0.709801:0.840631:0.709801:0.840631:0.700220:0.835394:0.700220:0.000000
dt:@0.828160:0.731106:0.842720:0.731106:0.842720:0.714700:0.828160:0.714700:0.000000:0.000000
2:@0.842655:0.725036:0.847892:0.725036:0.847892:0.715455:0.842655:0.715455:0.000000
Competencia :@0.740294:0.275344:0.848854:0.275344:0.848854:0.258397:0.740294:0.258397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.291986:0.837769:0.291986:0.837769:0.275039:0.740294:0.275039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 2) Reconoce magnitudes definidas como razones entre otras magnitudes. Interpreta y expresa :@0.086015:0.965315:0.639934:0.965315:0.639934:0.953363:0.086015:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnitudes como velocidad y aceleración, con las unidades respectivas y las relaciones entre ellas.:@0.086015:0.977418:0.605036:0.977418:0.605036:0.965466:0.086015:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000