153:@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:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 13. En cada ejercicio, evalúa y´.:@0.073089:0.148749:0.308037:0.148749:0.308037:0.132079:0.073089:0.132079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.184039:0.120077:0.184039:0.120077:0.167605:0.104633:0.167605:0.000000:0.000000:0.000000 :@0.297683:0.184039:0.337995:0.184039:0.337995:0.167605:0.297683:0.167605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.104633:0.222571:0.121531:0.222571:0.121531:0.206137:0.104633:0.206137:0.000000:0.000000:0.000000 :@0.293089:0.222571:0.313245:0.222571:0.313245:0.206137:0.293089:0.206137:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.104633:0.263692:0.119708:0.263692:0.119708:0.247259:0.104633:0.247259:0.000000:0.000000:0.000000 14. Si la función de costo total para un fabricante de :@0.073089:0.305351:0.489732:0.305351:0.489732:0.288682:0.073089:0.288682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.308473:0.305351:0.318689:0.305351:0.318689:0.288668:0.308473:0.288668:0.000000 un artículo está dada por:@0.103196:0.321993:0.304369:0.321993:0.304369:0.305323:0.103196:0.305323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.188992:0.321993:0.197110:0.321993:0.197110:0.305310:0.188992:0.305310:0.000000 :@0.258902:0.351378:0.262933:0.351378:0.262933:0.334945:0.258902:0.334945:0.000000 Obtén la función de costo marginal.:@0.103210:0.385889:0.362863:0.385889:0.362863:0.369455:0.103210:0.369455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15. Obtén la ecuación de la recta tangente a la curva :@0.073089:0.423973:0.489674:0.423973:0.489674:0.407304:0.073089:0.407304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y ln x:@0.103214:0.440615:0.156466:0.440615:0.156466:0.423932:0.103214:0.423932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = (:@0.114553:0.440615:0.148422:0.440615:0.148422:0.423946:0.114553:0.423946:0.000000:0.000000:0.000000:0.000000 2 :@0.156370:0.434551:0.164108:0.434551:0.164108:0.424833:0.156370:0.424833:0.000000:0.000000 – :@0.164060:0.440615:0.177221:0.440615:0.177221:0.424181:0.164060:0.424181:0.000000:0.000000 2:@0.177129:0.440615:0.186572:0.440615:0.186572:0.423946:0.177129:0.423946:0.000000 x :@0.186498:0.440615:0.197892:0.440615:0.197892:0.423932:0.186498:0.423932:0.000000:0.000000 – :@0.197837:0.440615:0.210998:0.440615:0.210998:0.424181:0.197837:0.424181:0.000000:0.000000 2) cuando :@0.210906:0.440615:0.290683:0.440615:0.290683:0.423946:0.210906:0.423946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x=3.:@0.290573:0.440615:0.321405:0.440615:0.321405:0.424181:0.290573:0.424181:0.000000:0.000000:0.000000:0.000000 16. Determina :@0.514231:0.156780:0.629257:0.156780:0.629257:0.140110:0.514231:0.140110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , si: :@0.652272:0.156780:0.678999:0.156780:0.678999:0.140110:0.652272:0.140110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. = ( + 2) (2 + 1):@0.545774:0.187717:0.721577:0.187717:0.721577:0.171284:0.545774:0.171284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.579933:0.187717:0.587406:0.187717:0.587406:0.171311:0.579933:0.171311:0.000000 x:@0.610912:0.187717:0.618367:0.187717:0.618367:0.171311:0.610912:0.171311:0.000000 ln x:@0.654740:0.187717:0.689051:0.187717:0.689051:0.171311:0.654740:0.171311:0.000000:0.000000:0.000000:0.000000 b. = 4:@0.545774:0.225254:0.615128:0.225254:0.615128:0.208820:0.545774:0.208820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.579933:0.225254:0.587406:0.225254:0.587406:0.208847:0.579933:0.208847:0.000000 2 3 + 4:@0.615027:0.218717:0.651540:0.218717:0.651540:0.207395:0.615027:0.207395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.621166:0.218717:0.626302:0.218717:0.626302:0.207414:0.621166:0.207414:0.000000 x:@0.651465:0.218717:0.656601:0.218717:0.656601:0.207414:0.651465:0.207414:0.000000 c. = :@0.545774:0.262790:0.606219:0.262790:0.606219:0.246356:0.545774:0.246356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.579933:0.262790:0.587406:0.262790:0.587406:0.246384:0.579933:0.246384:0.000000 e:@0.606127:0.262790:0.613913:0.262790:0.613913:0.246384:0.606127:0.246384:0.000000 2 5 + 3 - 1:@0.613844:0.256254:0.670738:0.256254:0.670738:0.244931:0.613844:0.244931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.619983:0.256254:0.625119:0.256254:0.625119:0.244950:0.619983:0.244950:0.000000 x:@0.650281:0.256254:0.655418:0.256254:0.655418:0.244950:0.650281:0.244950:0.000000 17. Obtén y´ mediante la derivación implícita. :@0.514231:0.293727:0.864914:0.293727:0.864914:0.277058:0.514231:0.277058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. ln xy:@0.545774:0.318589:0.612924:0.318589:0.612924:0.302183:0.545774:0.302183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) + = 4:@0.589123:0.318589:0.671625:0.318589:0.671625:0.302155:0.589123:0.302155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.636448:0.318589:0.643903:0.318589:0.643903:0.302183:0.636448:0.302183:0.000000 b. 2 + = 8:@0.545774:0.353099:0.656701:0.353099:0.656701:0.336666:0.545774:0.336666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy y:@0.584885:0.353099:0.625436:0.353099:0.625436:0.336693:0.584885:0.336693:0.000000:0.000000:0.000000:0.000000:0.000000 2 :@0.625371:0.347035:0.632915:0.347035:0.632915:0.337455:0.625371:0.337455:0.000000:0.000000 18. Deriva: :@0.514231:0.395803:0.601223:0.395803:0.601223:0.379134:0.514231:0.379134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y = Arcsen x :@0.601123:0.395803:0.690069:0.395803:0.690069:0.379120:0.601123:0.379120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + 2:@0.690067:0.395803:0.714236:0.395803:0.714236:0.379134:0.690067:0.379134:0.000000:0.000000:0.000000 x:@0.714144:0.395803:0.722261:0.395803:0.722261:0.379120:0.714144:0.379120:0.000000 19. Deriva: :@0.514231:0.437835:0.601223:0.437835:0.601223:0.421166:0.514231:0.421166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.839628:0.437835:0.843438:0.437835:0.843438:0.421166:0.839628:0.421166:0.000000 Metacognición:@0.104317:0.835140:0.205175:0.835140:0.205175:0.820200:0.104317:0.820200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. ¿Qué es lo que más te llamó la atención en esta unidad?:@0.104317:0.859244:0.541076:0.859244:0.541076:0.842811:0.104317:0.842811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. ¿De qué manera el uso de las TIC aportaron al conocimiento de esta unidad? :@0.104317:0.883035:0.693486:0.883035:0.693486:0.866601:0.104317:0.866601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Coevaluació:@0.133568:0.703721:0.222552:0.703721:0.222552:0.687288:0.133568:0.687288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.222416:0.703406:0.231385:0.703406:0.231385:0.688466:0.222416:0.688466:0.000000 Autoevaluación:@0.131196:0.513446:0.245373:0.513446:0.245373:0.497012:0.131196:0.497012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Siempre:@0.662567:0.541568:0.728148:0.541568:0.728148:0.524621:0.662567:0.524621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A veces:@0.750480:0.541568:0.809434:0.541568:0.809434:0.524621:0.750480:0.524621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Nunca:@0.831600:0.541568:0.882368:0.541568:0.882368:0.524621:0.831600:0.524621:0.000000:0.000000:0.000000:0.000000:0.000000 Calculo fácilmente el cociente incremental.:@0.111490:0.565075:0.423438:0.565075:0.423438:0.548641:0.111490:0.548641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determino de forma intuitiva la derivada de una función.:@0.111490:0.585558:0.522708:0.585558:0.522708:0.569124:0.111490:0.569124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplico el concepto de derivada para determinar la velocidad y la :@0.111490:0.606041:0.581300:0.606041:0.581300:0.589608:0.111490:0.589608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aceleración de un objeto.:@0.111490:0.622683:0.295274:0.622683:0.295274:0.606249:0.111490:0.606249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interpreto de manera geométrica la pendiente de la secante de una :@0.111490:0.643167:0.607435:0.643167:0.607435:0.626733:0.111490:0.626733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 función.:@0.111490:0.659808:0.170357:0.659808:0.170357:0.643375:0.111490:0.643375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Siempre:@0.662172:0.725494:0.727753:0.725494:0.727753:0.708548:0.662172:0.708548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A veces:@0.750085:0.725494:0.809039:0.725494:0.809039:0.708548:0.750085:0.708548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Nunca:@0.831205:0.725494:0.881973:0.725494:0.881973:0.708548:0.831205:0.708548:0.000000:0.000000:0.000000:0.000000:0.000000 Al trabajar en equipo demostramos unidad de criterios para establecer :@0.111095:0.749001:0.630033:0.749001:0.630033:0.732567:0.111095:0.732567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 soluciones valederas.:@0.111095:0.765643:0.263592:0.765643:0.263592:0.749209:0.111095:0.749209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuando trabajamos en equipo todos aportamos con nuestras ideas.:@0.111095:0.786126:0.602898:0.786126:0.602898:0.769692:0.111095:0.769692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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