154:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000 Definición :@0.404235:0.104037:0.491102:0.104037:0.491102:0.087091:0.404235:0.087091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Sean [ ], . Se dice que :@0.484320:0.103575:0.758252:0.103575:0.758252:0.087077:0.484320:0.087077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.528900:0.103690:0.538167:0.103690:0.538167:0.087221:0.528900:0.087221:0.000000 :@0.542694:0.103358:0.558742:0.103358:0.558742:0.088711:0.542694:0.088711:0.000000 P:@0.563655:0.103690:0.572439:0.103690:0.572439:0.087221:0.563655:0.087221:0.000000 4:@0.572435:0.106851:0.577388:0.106851:0.577388:0.097233:0.572435:0.097233:0.000000 :@0.583246:0.102488:0.596550:0.102488:0.596550:0.089625:0.583246:0.089625:0.000000 c:@0.609304:0.103690:0.616490:0.103690:0.616490:0.087221:0.609304:0.087221:0.000000 :@0.620632:0.103358:0.636680:0.103358:0.636680:0.088711:0.620632:0.088711:0.000000 :@0.641206:0.102488:0.654510:0.102488:0.654510:0.089625:0.641206:0.089625:0.000000 c:@0.746539:0.104269:0.754110:0.104269:0.754110:0.087106:0.746539:0.087106:0.000000 es un punto:@0.758252:0.104037:0.849473:0.104037:0.849473:0.087091:0.758252:0.087091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 crítico:@0.404235:0.128516:0.453728:0.128516:0.453728:0.111570:0.404235:0.111570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la función si = 0. :@0.453728:0.128054:0.673159:0.128054:0.673159:0.111556:0.453728:0.111556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p,:@0.554791:0.128169:0.566485:0.128169:0.566485:0.111701:0.554791:0.111701:0.000000:0.000000 La búsqueda de puntos críticos de una función conduce a resolver :@0.404235:0.162755:0.893796:0.162755:0.893796:0.146257:0.404235:0.146257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.742895:0.162871:0.752162:0.162871:0.752162:0.146402:0.742895:0.146402:0.000000 ecuaciones de la forma = 0. :@0.404235:0.187234:0.655761:0.187234:0.655761:0.170736:0.404235:0.170736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Estos puntos tienen mucho interés en las aplicaciones.:@0.404235:0.216658:0.788899:0.216658:0.788899:0.200160:0.404235:0.200160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Definición :@0.404235:0.251822:0.491102:0.251822:0.491102:0.234876:0.404235:0.234876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Sean [ ], , no vacío, :@0.484321:0.251360:0.764284:0.251355:0.764284:0.234858:0.484321:0.234862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.528901:0.251475:0.538167:0.251475:0.538167:0.235007:0.528901:0.235007:0.000000 :@0.542695:0.251143:0.558743:0.251143:0.558743:0.236496:0.542695:0.236496:0.000000 P:@0.563655:0.251475:0.572440:0.251475:0.572440:0.235007:0.563655:0.235007:0.000000 4:@0.572435:0.254633:0.577388:0.254633:0.577388:0.245015:0.572435:0.245015:0.000000 :@0.583246:0.250268:0.596550:0.250268:0.596550:0.237406:0.583246:0.237406:0.000000 A:@0.609304:0.251471:0.620574:0.251471:0.620574:0.235002:0.609304:0.235002:0.000000 :@0.624716:0.251138:0.640764:0.251138:0.640764:0.236491:0.624716:0.236491:0.000000 :@0.644904:0.250268:0.658209:0.250268:0.658209:0.237406:0.644904:0.237406:0.000000 c:@0.732380:0.251471:0.739566:0.251471:0.739566:0.235002:0.732380:0.235002:0.000000 :@0.743708:0.251138:0.759756:0.251138:0.759756:0.236491:0.743708:0.236491:0.000000 A.:@0.764284:0.251471:0.778790:0.251471:0.778790:0.235002:0.764284:0.235002:0.000000:0.000000 i):@0.404235:0.286274:0.414773:0.286274:0.414773:0.269559:0.404235:0.269559:0.000000:0.000000 Se dice que :@0.414773:0.286057:0.513101:0.286057:0.513101:0.269559:0.414773:0.269559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p(c):@0.513101:0.286751:0.543887:0.286751:0.543887:0.269588:0.513101:0.269588:0.000000:0.000000:0.000000:0.000000 es un mínimo local de la función :@0.543887:0.286519:0.801286:0.286519:0.801286:0.269574:0.543887:0.269574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.801286:0.286751:0.811247:0.286751:0.811247:0.269588:0.801286:0.269588:0.000000 si y solo si,:@0.811247:0.286057:0.888076:0.286057:0.888076:0.269559:0.811247:0.269559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404235:0.303407:0.408377:0.303407:0.408377:0.286910:0.404235:0.286910:0.000000 p c:@0.427970:0.303523:0.450376:0.303523:0.450376:0.287054:0.427970:0.287054:0.000000:0.000000:0.000000 ( ) ≤ ( ), .:@0.437237:0.303407:0.575271:0.303407:0.575271:0.286910:0.437237:0.286910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.475420:0.303523:0.498115:0.303523:0.498115:0.287054:0.475420:0.287054:0.000000:0.000000:0.000000 ∀:@0.519253:0.310994:0.530826:0.310994:0.530826:0.291995:0.519253:0.291995:0.000000 x:@0.530834:0.303523:0.538309:0.303523:0.538309:0.287054:0.530834:0.287054:0.000000 :@0.542450:0.302889:0.557103:0.302889:0.557103:0.289516:0.542450:0.289516:0.000000 A:@0.561246:0.303523:0.572516:0.303523:0.572516:0.287054:0.561246:0.287054:0.000000 ii):@0.404234:0.320975:0.419029:0.320975:0.419029:0.304261:0.404234:0.304261:0.000000:0.000000:0.000000 Se dice que :@0.419029:0.320758:0.513100:0.320758:0.513100:0.304261:0.419029:0.304261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p(c):@0.513100:0.321452:0.543886:0.321452:0.543886:0.304289:0.513100:0.304289:0.000000:0.000000:0.000000:0.000000 :@0.543886:0.320758:0.548028:0.320758:0.548028:0.304261:0.543886:0.304261:0.000000 es un máximo local de la función:@0.548028:0.321221:0.799647:0.321221:0.799647:0.304275:0.548028:0.304275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.799647:0.321452:0.814135:0.321452:0.814135:0.304289:0.799647:0.304289:0.000000:0.000000 si y solo si :@0.814135:0.320758:0.895010:0.320758:0.895010:0.304261:0.814135:0.304261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404234:0.338109:0.408376:0.338109:0.408376:0.321611:0.404234:0.321611:0.000000 p c:@0.427968:0.338225:0.450374:0.338225:0.450374:0.321756:0.427968:0.321756:0.000000:0.000000:0.000000 ( ) ≥ ( ), .:@0.437235:0.338109:0.575271:0.338109:0.575271:0.321611:0.437235:0.321611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.475419:0.338225:0.498113:0.338225:0.498113:0.321756:0.475419:0.321756:0.000000:0.000000:0.000000 ∀:@0.519253:0.345695:0.530826:0.345695:0.530826:0.326696:0.519253:0.326696:0.000000 x:@0.530834:0.338225:0.538309:0.338225:0.538309:0.321756:0.530834:0.321756:0.000000 :@0.542450:0.337590:0.557103:0.337590:0.557103:0.324217:0.542450:0.324217:0.000000 A:@0.561246:0.338225:0.572516:0.338225:0.572516:0.321756:0.561246:0.321756:0.000000 iii):@0.404234:0.355677:0.423287:0.355677:0.423287:0.338962:0.404234:0.338962:0.000000:0.000000:0.000000:0.000000 Se dice que:@0.423287:0.355460:0.512734:0.355460:0.512734:0.338962:0.423287:0.338962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.512734:0.355922:0.516760:0.355922:0.516760:0.338977:0.512734:0.338977:0.000000 p(c) :@0.518592:0.356154:0.553905:0.356154:0.553905:0.338991:0.518592:0.338991:0.000000:0.000000:0.000000:0.000000:0.000000 es un valor extremo local:@0.555967:0.355922:0.755474:0.355922:0.755474:0.338977:0.555967:0.338977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si y solo si este es :@0.755474:0.355460:0.895916:0.355460:0.895916:0.338962:0.755474:0.338962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 máximo o mínimo local en el conjunto :@0.427968:0.372810:0.710204:0.372810:0.710204:0.356313:0.427968:0.356313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A.:@0.710204:0.372926:0.724711:0.372926:0.724711:0.356457:0.710204:0.356457:0.000000:0.000000 La determinación de extremos locales conduce a la resolución de :@0.404234:0.407512:0.895914:0.407512:0.895914:0.391014:0.404234:0.391014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuaciones e inecuaciones.:@0.404234:0.424863:0.594553:0.424863:0.594553:0.408365:0.404234:0.408365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Definición :@0.404234:0.460027:0.491101:0.460027:0.491101:0.443081:0.404234:0.443081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Sean [ ], .:@0.484319:0.459564:0.657265:0.459564:0.657265:0.443067:0.484319:0.443067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.528899:0.459680:0.538166:0.459680:0.538166:0.443211:0.528899:0.443211:0.000000 :@0.542693:0.459347:0.558741:0.459347:0.558741:0.444700:0.542693:0.444700:0.000000 P:@0.563654:0.459680:0.572439:0.459680:0.572439:0.443211:0.563654:0.443211:0.000000 4:@0.572435:0.462842:0.577388:0.462842:0.577388:0.453224:0.572435:0.453224:0.000000 :@0.583246:0.458477:0.596550:0.458477:0.596550:0.445615:0.583246:0.445615:0.000000 c:@0.609304:0.459680:0.616490:0.459680:0.616490:0.443211:0.609304:0.443211:0.000000 :@0.620632:0.459347:0.636680:0.459347:0.636680:0.444700:0.620632:0.444700:0.000000 :@0.641206:0.458477:0.654510:0.458477:0.654510:0.445615:0.641206:0.445615:0.000000 i):@0.404235:0.494483:0.414773:0.494483:0.414773:0.477768:0.404235:0.477768:0.000000:0.000000 Se dice que :@0.414773:0.494266:0.510984:0.494266:0.510984:0.477768:0.414773:0.477768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p(c):@0.510791:0.494960:0.540999:0.494960:0.540999:0.477797:0.510791:0.477797:0.000000:0.000000:0.000000:0.000000 :@0.540807:0.494266:0.544949:0.494266:0.544949:0.477768:0.540807:0.477768:0.000000 es un mínimo global de la función:@0.544756:0.494728:0.798264:0.494728:0.798264:0.477783:0.544756:0.477783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si y solo si :@0.798071:0.494266:0.891454:0.494266:0.891454:0.477768:0.798071:0.477768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.802024:0.494960:0.811984:0.494960:0.811984:0.477797:0.802024:0.477797:0.000000 p c:@0.427970:0.511732:0.450376:0.511732:0.450376:0.495263:0.427970:0.495263:0.000000:0.000000:0.000000 ( ) ≤ ( ), .:@0.437237:0.511617:0.577304:0.511617:0.577304:0.495119:0.437237:0.495119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.475420:0.511732:0.498115:0.511732:0.498115:0.495263:0.475420:0.495263:0.000000:0.000000:0.000000 ∀:@0.519253:0.519203:0.530826:0.519203:0.530826:0.500204:0.519253:0.500204:0.000000 x:@0.530834:0.511732:0.538309:0.511732:0.538309:0.495263:0.530834:0.495263:0.000000 :@0.542450:0.511098:0.557103:0.511098:0.557103:0.497725:0.542450:0.497725:0.000000 :@0.561245:0.510530:0.574549:0.510530:0.574549:0.497667:0.561245:0.497667:0.000000 ii):@0.404225:0.529184:0.419021:0.529184:0.419021:0.512470:0.404225:0.512470:0.000000:0.000000:0.000000 Se dice que :@0.419021:0.528967:0.510974:0.528967:0.510974:0.512470:0.419021:0.512470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p(c):@0.510781:0.529661:0.540989:0.529661:0.540989:0.512499:0.510781:0.512499:0.000000:0.000000:0.000000:0.000000 :@0.540797:0.528967:0.544939:0.528967:0.544939:0.512470:0.540797:0.512470:0.000000 es un máximo global de la función:@0.544746:0.529430:0.800529:0.529430:0.800529:0.512484:0.544746:0.512484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si y solo si :@0.800336:0.528967:0.894150:0.528967:0.894150:0.512470:0.800336:0.512470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.804288:0.529661:0.814248:0.529661:0.814248:0.512499:0.804288:0.512499:0.000000 :@0.404225:0.546318:0.408367:0.546318:0.408367:0.529820:0.404225:0.529820:0.000000 p c:@0.427960:0.546434:0.450366:0.546434:0.450366:0.529965:0.427960:0.529965:0.000000:0.000000:0.000000 ( ) ≥ ( ), .:@0.437227:0.546318:0.577304:0.546318:0.577304:0.529820:0.437227:0.529820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.475410:0.546434:0.498105:0.546434:0.498105:0.529965:0.475410:0.529965:0.000000:0.000000:0.000000 ∀:@0.519253:0.553904:0.530826:0.553904:0.530826:0.534905:0.519253:0.534905:0.000000 x:@0.530834:0.546434:0.538309:0.546434:0.538309:0.529965:0.530834:0.529965:0.000000 :@0.542450:0.545799:0.557103:0.545799:0.557103:0.532426:0.542450:0.532426:0.000000 :@0.561245:0.545231:0.574549:0.545231:0.574549:0.532369:0.561245:0.532369:0.000000 Ejercicio resuelto:@0.404225:0.581395:0.522204:0.581395:0.522204:0.564609:0.404225:0.564609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea la función polinomial definida por::@0.404225:0.598370:0.692335:0.598370:0.692335:0.581873:0.404225:0.581873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.432487:0.598486:0.441754:0.598486:0.441754:0.582017:0.432487:0.582017:0.000000 p x:@0.521628:0.622965:0.544322:0.622965:0.544322:0.606496:0.521628:0.606496:0.000000:0.000000:0.000000 ( ) = 2 + 3 – 36 + 1, .:@0.530894:0.622849:0.774375:0.622850:0.774375:0.606352:0.530894:0.606352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.577863:0.622965:0.585338:0.622965:0.585338:0.606496:0.577863:0.606496:0.000000 3:@0.585338:0.616497:0.590291:0.616497:0.590291:0.606879:0.585338:0.606879:0.000000 x:@0.617878:0.622966:0.625353:0.622966:0.625353:0.606497:0.617878:0.606497:0.000000 2:@0.625353:0.616497:0.630306:0.616497:0.630306:0.606879:0.625353:0.606879:0.000000 x:@0.666080:0.622966:0.673555:0.622966:0.673555:0.606497:0.666080:0.606497:0.000000 ∀:@0.716323:0.630436:0.727896:0.630436:0.727896:0.611437:0.716323:0.611437:0.000000 x:@0.727904:0.622966:0.735379:0.622966:0.735379:0.606497:0.727904:0.606497:0.000000 :@0.739520:0.622331:0.754173:0.622331:0.754173:0.608958:0.739520:0.608958:0.000000 :@0.758315:0.621763:0.771620:0.621763:0.771620:0.608901:0.758315:0.608901:0.000000 Analicemos esta función, es decir, determinemos los intervalos en los :@0.404231:0.657551:0.895919:0.657551:0.895919:0.641054:0.404231:0.641054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que la función es monótona, así como de los valores extremos locales :@0.404231:0.674902:0.895965:0.674902:0.895965:0.658405:0.404231:0.658405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y globales, y la paridad de la función. Para el efecto, sea , calcule-:@0.404231:0.692253:0.891762:0.692253:0.891762:0.675755:0.404231:0.675755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.788028:0.692369:0.795503:0.692369:0.795503:0.675900:0.788028:0.675900:0.000000 :@0.799388:0.691734:0.814041:0.691734:0.814041:0.678361:0.799388:0.678361:0.000000 :@0.817868:0.691166:0.831173:0.691166:0.831173:0.678304:0.817868:0.678304:0.000000 mos el cociente incremental ( ) para , tal que ≠ 0. De la de-:@0.404237:0.709604:0.891759:0.709604:0.891759:0.693106:0.404237:0.693106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Q h:@0.607277:0.709719:0.634341:0.709719:0.634341:0.693251:0.607277:0.693251:0.000000:0.000000:0.000000 h:@0.679403:0.709719:0.688804:0.709719:0.688804:0.693251:0.679403:0.693251:0.000000 :@0.692892:0.709085:0.707544:0.709085:0.707544:0.695712:0.692892:0.695712:0.000000 :@0.711644:0.708517:0.724949:0.708517:0.724949:0.695655:0.711644:0.695655:0.000000 h:@0.784598:0.709719:0.793999:0.709719:0.793999:0.693251:0.784598:0.693251:0.000000 finición de la función polinomial y del cociente incremental, se tiene::@0.404224:0.726954:0.891728:0.726954:0.891728:0.710457:0.404224:0.710457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.633749:0.727070:0.643015:0.727070:0.643015:0.710601:0.633749:0.710601:0.000000 Q h:@0.404224:0.758677:0.431466:0.758677:0.431466:0.742209:0.404224:0.742209:0.000000:0.000000:0.000000 ( ) = =:@0.416111:0.758562:0.589287:0.758562:0.589287:0.742064:0.416111:0.742064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404224:0.793726:0.408366:0.793726:0.408366:0.777228:0.404224:0.777228:0.000000 = :@0.443410:0.793726:0.636467:0.793726:0.636467:0.777228:0.443410:0.777228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404224:0.828890:0.408366:0.828890:0.408366:0.812392:0.404224:0.812392:0.000000 = :@0.443410:0.828890:0.636467:0.828890:0.636467:0.812392:0.443410:0.812392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404224:0.864054:0.408366:0.864054:0.408366:0.847557:0.404224:0.847557:0.000000 = :@0.443410:0.864054:0.632325:0.864054:0.632325:0.847557:0.443410:0.847557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404224:0.892090:0.408366:0.892090:0.408366:0.875593:0.404224:0.875593:0.000000 = 6 + 6 – 36 + 6 + 2 + 3 , ≠ 0.:@0.443410:0.892090:0.724261:0.892116:0.724261:0.875618:0.443410:0.875593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.466856:0.892206:0.474331:0.892206:0.474331:0.875737:0.466856:0.875737:0.000000 2:@0.474332:0.885763:0.479285:0.885763:0.479285:0.876145:0.474332:0.876145:0.000000 x:@0.506871:0.892232:0.514346:0.892232:0.514346:0.875763:0.506871:0.875763:0.000000 xhh:@0.577710:0.892232:0.604812:0.890792:0.604812:0.874323:0.577710:0.875763:0.000000:0.000000:0.000000 h:@0.622135:0.892232:0.631537:0.892232:0.631537:0.875763:0.622135:0.875763:0.000000 2:@0.631534:0.885763:0.636488:0.885763:0.636488:0.876145:0.631534:0.876145:0.000000 h h:@0.664076:0.892232:0.693918:0.892232:0.693918:0.875763:0.664076:0.875763:0.000000:0.000000:0.000000 df c:@0.588747:0.120753:0.615352:0.120753:0.615352:0.104284:0.588747:0.104284:0.000000:0.000000:0.000000:0.000000 ( ):@0.602213:0.120637:0.621305:0.120637:0.621305:0.104140:0.602213:0.104140:0.000000:0.000000:0.000000 dx:@0.596781:0.137092:0.613272:0.137092:0.613272:0.120623:0.596781:0.120623:0.000000:0.000000 df c:@0.582046:0.179688:0.608651:0.179688:0.608651:0.163219:0.582046:0.163219:0.000000:0.000000:0.000000:0.000000 ( ):@0.595513:0.179572:0.614604:0.179572:0.614604:0.163074:0.595513:0.163074:0.000000:0.000000:0.000000 dx:@0.590080:0.196026:0.606571:0.196026:0.606571:0.179558:0.590080:0.179558:0.000000:0.000000 p x + h:@0.463598:0.768618:0.514863:0.768618:0.514863:0.752149:0.463598:0.752149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.472865:0.768502:0.478818:0.768502:0.478818:0.752004:0.472865:0.752004:0.000000 ) – ( ):@0.514863:0.768502:0.568247:0.768502:0.568247:0.752004:0.514863:0.752004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.539600:0.768618:0.562294:0.768618:0.562294:0.752149:0.539600:0.752149:0.000000:0.000000:0.000000 h:@0.511222:0.784956:0.520623:0.784956:0.520623:0.768488:0.511222:0.768488:0.000000 2(:@0.460032:0.803501:0.474481:0.803501:0.474481:0.787004:0.460032:0.787004:0.000000:0.000000 x + h:@0.474481:0.803617:0.510526:0.803617:0.510526:0.787148:0.474481:0.787148:0.000000:0.000000:0.000000:0.000000:0.000000 ) + 3(:@0.510526:0.803501:0.554972:0.803501:0.554972:0.787004:0.510526:0.787004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.516477:0.797148:0.521430:0.797148:0.521430:0.787530:0.516477:0.787530:0.000000 x + h:@0.554972:0.803617:0.591017:0.803617:0.591017:0.787148:0.554972:0.787148:0.000000:0.000000:0.000000:0.000000:0.000000 ) – 36 + 1 –(2 + 3 – 6 + 1):@0.591017:0.803501:0.822586:0.803501:0.822586:0.787004:0.591017:0.787004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.596967:0.797148:0.601921:0.797148:0.601921:0.787530:0.596967:0.787530:0.000000 x:@0.637697:0.803617:0.645172:0.803617:0.645172:0.787148:0.637697:0.787148:0.000000 x:@0.701850:0.803617:0.709325:0.803617:0.709325:0.787148:0.701850:0.787148:0.000000 3:@0.709322:0.797148:0.714276:0.797148:0.714276:0.787530:0.709322:0.787530:0.000000 x:@0.741864:0.803617:0.749339:0.803617:0.749339:0.787148:0.741864:0.787148:0.000000 2:@0.749337:0.797148:0.754290:0.797148:0.754290:0.787530:0.749337:0.787530:0.000000 x:@0.781571:0.803617:0.789045:0.803617:0.789045:0.787148:0.781571:0.787148:0.000000 h:@0.638160:0.819956:0.647561:0.819956:0.647561:0.803487:0.638160:0.803487:0.000000 2(:@0.460032:0.838500:0.473903:0.838500:0.473903:0.822002:0.460032:0.822002:0.000000:0.000000 x + x h + xh + h x + xh + h x + h x x x :@0.473325:0.838615:0.888421:0.838615:0.888421:0.822147:0.473325:0.822147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.480220:0.832147:0.485173:0.832147:0.485173:0.822529:0.480220:0.822529:0.000000 3:@0.495722:0.838500:0.504218:0.838500:0.504218:0.822002:0.495722:0.822002:0.000000 2:@0.510535:0.832147:0.515488:0.832147:0.515488:0.822529:0.510535:0.822529:0.000000 3:@0.534860:0.838500:0.543356:0.838500:0.543356:0.822002:0.534860:0.822002:0.000000 2:@0.558459:0.832147:0.563412:0.832147:0.563412:0.822529:0.558459:0.822529:0.000000 3:@0.582783:0.832147:0.587736:0.832147:0.587736:0.822529:0.582783:0.822529:0.000000 )+3(:@0.587399:0.838500:0.617452:0.838500:0.617452:0.822002:0.587399:0.822002:0.000000:0.000000:0.000000:0.000000 2:@0.623771:0.832147:0.628724:0.832147:0.628724:0.822529:0.623771:0.822529:0.000000 2:@0.639271:0.838500:0.647767:0.838500:0.647767:0.822002:0.639271:0.822002:0.000000 2:@0.682579:0.832147:0.687532:0.832147:0.687532:0.822529:0.682579:0.822529:0.000000 )–36(:@0.687194:0.838500:0.724858:0.838500:0.724858:0.822002:0.687194:0.822002:0.000000:0.000000:0.000000:0.000000:0.000000 )+1–(2 +3 –36 +1):@0.750885:0.838500:0.898439:0.838500:0.898439:0.822002:0.750885:0.822002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.805672:0.832147:0.810625:0.832147:0.810625:0.822529:0.805672:0.822529:0.000000 2:@0.835910:0.832147:0.840863:0.832147:0.840863:0.822529:0.835910:0.822529:0.000000 h:@0.676156:0.854954:0.685558:0.854954:0.685558:0.838485:0.676156:0.838485:0.000000 2 (3:@0.460032:0.874338:0.492378:0.874338:0.492378:0.857840:0.460032:0.857840:0.000000:0.000000:0.000000:0.000000 h x + xh + h:@0.468528:0.874453:0.577877:0.874453:0.577877:0.857985:0.468528:0.857985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.499852:0.867985:0.504805:0.867985:0.504805:0.858367:0.499852:0.858367:0.000000 3:@0.523973:0.874338:0.532469:0.874338:0.532469:0.857840:0.523973:0.857840:0.000000 2:@0.577876:0.867985:0.582830:0.867985:0.582830:0.858367:0.577876:0.858367:0.000000 ) – 3 (2 + ) – 36:@0.582830:0.874338:0.717610:0.874338:0.717610:0.857840:0.582830:0.857840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 h x h:@0.616063:0.874453:0.675881:0.874453:0.675881:0.857985:0.616063:0.857985:0.000000:0.000000:0.000000:0.000000:0.000000 h:@0.717610:0.874453:0.727011:0.874453:0.727011:0.857985:0.717610:0.857985:0.000000 Competencia :@0.199646:0.756309:0.297269:0.756309:0.297269:0.740836:0.199646:0.740836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 socioemocional:@0.199646:0.768877:0.310021:0.768877:0.310021:0.753404:0.199646:0.753404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Albert Einstein dijo: “La :@0.199884:0.793351:0.353654:0.793351:0.353654:0.778288:0.199884:0.778288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mente es como un paracaídas. :@0.153341:0.809193:0.354584:0.809193:0.354584:0.794130:0.153341:0.794130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solo funciona si la tenemos :@0.153341:0.825035:0.334778:0.825035:0.334778:0.809972:0.153341:0.809972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 abierta”. :@0.153341:0.840877:0.207887:0.840877:0.207887:0.825814:0.153341:0.825814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Responde:@0.153341:0.857142:0.222293:0.857142:0.222293:0.841669:0.153341:0.841669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 : ¿cómo puedes apli-:@0.222293:0.856719:0.354813:0.856719:0.354813:0.841656:0.222293:0.841656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 car esta frase en la relación con :@0.153341:0.872561:0.358069:0.872561:0.358069:0.857498:0.153341:0.857498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tus compañeros?:@0.153341:0.888403:0.262993:0.888403:0.262993:0.873340:0.153341:0.873340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La derivada de una :@0.199676:0.143840:0.325320:0.143840:0.325320:0.128777:0.199676:0.128777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 función cúbica es una función :@0.153133:0.159682:0.351810:0.159682:0.351810:0.144619:0.153133:0.144619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrática.:@0.153133:0.175524:0.223386:0.175524:0.223386:0.160461:0.153133:0.160461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Así, sea la función polinomial :@0.153133:0.198495:0.357281:0.198495:0.357281:0.183431:0.153133:0.183431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.203579:0.198600:0.212040:0.198600:0.212040:0.183563:0.203579:0.183563:0.000000 definida por: :@0.153133:0.214337:0.239304:0.214337:0.239304:0.199273:0.153133:0.199273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.153133:0.237413:0.173221:0.237413:0.173221:0.222376:0.153133:0.222376:0.000000:0.000000:0.000000 ( ) = 2 + 3 – 36 + 1, .:@0.161277:0.237307:0.361299:0.237306:0.361299:0.222243:0.161277:0.222244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.199993:0.237413:0.206818:0.237413:0.206818:0.222376:0.199993:0.222376:0.000000 3:@0.206506:0.231506:0.211028:0.231506:0.211028:0.222724:0.206506:0.222724:0.000000 x:@0.232813:0.237412:0.239638:0.237412:0.239638:0.222375:0.232813:0.222375:0.000000 2:@0.239322:0.231506:0.243845:0.231506:0.243845:0.222724:0.239322:0.222724:0.000000 x:@0.272797:0.237412:0.279622:0.237412:0.279622:0.222375:0.272797:0.222375:0.000000 ∀:@0.310486:0.244188:0.321007:0.244188:0.321007:0.226916:0.310486:0.226916:0.000000 x:@0.321014:0.237412:0.327839:0.237412:0.327839:0.222375:0.321014:0.222375:0.000000 :@0.330328:0.236806:0.343585:0.236806:0.343585:0.224707:0.330328:0.224707:0.000000 :@0.346084:0.236422:0.358784:0.236422:0.358784:0.224144:0.346084:0.224144:0.000000 La derivada primera es::@0.153139:0.260277:0.300680:0.260277:0.300680:0.245214:0.153139:0.245214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = '( ) = 6 + 6 – 36,:@0.153139:0.283248:0.328137:0.283245:0.328137:0.268182:0.153139:0.268185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.196692:0.283354:0.219594:0.283354:0.219594:0.268317:0.196692:0.268317:0.000000:0.000000:0.000000 x:@0.250007:0.283354:0.256832:0.283354:0.256832:0.268317:0.250007:0.268317:0.000000 2:@0.256793:0.277446:0.261316:0.277446:0.261316:0.268664:0.256793:0.268664:0.000000 x:@0.286343:0.283351:0.293168:0.283351:0.293168:0.268314:0.286343:0.268314:0.000000 ∀:@0.153138:0.313098:0.163658:0.313098:0.163658:0.295827:0.153138:0.295827:0.000000 x:@0.163665:0.306322:0.170490:0.306322:0.170490:0.291285:0.163665:0.291285:0.000000 .:@0.170490:0.306216:0.206526:0.306216:0.206526:0.291153:0.170490:0.291153:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.174273:0.305717:0.187530:0.305717:0.187530:0.293617:0.174273:0.293617:0.000000 :@0.191311:0.305332:0.204011:0.305332:0.204011:0.293054:0.191311:0.293054:0.000000 Si la función tiene un mínimo :@0.153140:0.345029:0.361403:0.345029:0.361403:0.329966:0.153140:0.329966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.236111:0.345135:0.244571:0.345135:0.244571:0.330098:0.236111:0.330098:0.000000 global, se escribe::@0.153140:0.360871:0.263954:0.360871:0.263954:0.345808:0.153140:0.345808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p c:@0.206649:0.383948:0.227106:0.383948:0.227106:0.368911:0.206649:0.368911:0.000000:0.000000:0.000000 ( ) = :@0.215110:0.383842:0.249973:0.383842:0.249973:0.368779:0.215110:0.368779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mín p x:@0.249973:0.383948:0.299824:0.383948:0.299824:0.368911:0.249973:0.368911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ),:@0.275321:0.383842:0.307774:0.383842:0.307774:0.368779:0.275321:0.368779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo que se lee “mínimo de la :@0.153140:0.410377:0.331887:0.410377:0.331887:0.395314:0.153140:0.395314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 función cuando recorre :@0.153140:0.426219:0.332682:0.426219:0.332682:0.411156:0.153140:0.411156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.207124:0.426325:0.215585:0.426325:0.215585:0.411288:0.207124:0.411288:0.000000 x:@0.272506:0.426325:0.279331:0.426325:0.279331:0.411288:0.272506:0.411288:0.000000 todo \. Se tiene la siguiente :@0.153140:0.442061:0.342558:0.442058:0.342558:0.426995:0.153140:0.426998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.188986:0.441055:0.201082:0.441055:0.201082:0.429362:0.188986:0.429362:0.000000 equivalencia::@0.153131:0.457900:0.235875:0.457900:0.235875:0.442836:0.153131:0.442836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p c:@0.196842:0.480976:0.217300:0.480976:0.217300:0.465939:0.196842:0.465939:0.000000:0.000000:0.000000 ( ) = :@0.205303:0.480870:0.240167:0.480870:0.240167:0.465807:0.205303:0.465807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mín p x:@0.240167:0.480976:0.290017:0.480976:0.290017:0.465939:0.240167:0.465939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.265514:0.480870:0.299234:0.480870:0.299234:0.465807:0.265514:0.465807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ⇔:@0.299234:0.480408:0.317563:0.480408:0.317563:0.464236:0.299234:0.464236:0.000000 p c:@0.189138:0.507511:0.209595:0.507511:0.209595:0.492475:0.189138:0.492475:0.000000:0.000000:0.000000 ( ) ≤ ( ), .:@0.197599:0.507406:0.325275:0.507403:0.325275:0.492340:0.197599:0.492343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.232462:0.507511:0.253183:0.507511:0.253183:0.492475:0.232462:0.492475:0.000000:0.000000:0.000000 ∀:@0.272492:0.514286:0.283012:0.514286:0.283012:0.497014:0.272492:0.497014:0.000000 x:@0.283019:0.507509:0.289844:0.507509:0.289844:0.492472:0.283019:0.492472:0.000000 :@0.293627:0.506904:0.306884:0.506904:0.306884:0.494804:0.293627:0.494804:0.000000 :@0.310666:0.506401:0.322761:0.506401:0.322761:0.494708:0.310666:0.494708:0.000000 De manera similar, si la función :@0.153139:0.530374:0.357304:0.530374:0.357304:0.515311:0.153139:0.515311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.153139:0.546322:0.161599:0.546322:0.161599:0.531285:0.153139:0.531285:0.000000 tiene un máximo global, se :@0.161599:0.546216:0.343389:0.546216:0.343389:0.531153:0.161599:0.531153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escribe::@0.153139:0.562058:0.201228:0.562058:0.201228:0.546995:0.153139:0.546995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p c:@0.205064:0.581570:0.225522:0.581570:0.225522:0.566534:0.205064:0.566534:0.000000:0.000000:0.000000 ( ) = :@0.213525:0.581465:0.248389:0.581465:0.248389:0.566402:0.213525:0.566402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 máx p x:@0.248389:0.581570:0.301405:0.581570:0.301405:0.566534:0.248389:0.566534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ),:@0.276902:0.581465:0.309356:0.581465:0.309356:0.566402:0.276902:0.566402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo que se lee “máximo de la :@0.153139:0.608000:0.334119:0.608000:0.334119:0.592937:0.153139:0.592937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 función cuando recorre :@0.153139:0.623842:0.332680:0.623842:0.332680:0.608779:0.153139:0.608779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.207122:0.623948:0.215583:0.623948:0.215583:0.608911:0.207122:0.608911:0.000000 x:@0.272505:0.623948:0.279329:0.623948:0.279329:0.608911:0.272505:0.608911:0.000000 todo \. Se tiene la siguiente :@0.153139:0.639684:0.342558:0.639681:0.342558:0.624618:0.153139:0.624621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.188986:0.638679:0.201082:0.638679:0.201082:0.626986:0.188986:0.626986:0.000000 equivalencia::@0.153131:0.655523:0.235875:0.655523:0.235875:0.640460:0.153131:0.640460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p c:@0.195259:0.678600:0.215716:0.678600:0.215716:0.663563:0.195259:0.663563:0.000000:0.000000:0.000000 ( ) = :@0.203720:0.678494:0.238583:0.678494:0.238583:0.663431:0.203720:0.663431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 máx p x:@0.238583:0.678600:0.291600:0.678600:0.291600:0.663563:0.238583:0.663563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.267097:0.678494:0.300817:0.678494:0.300817:0.663431:0.267097:0.663431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ⇔:@0.300817:0.678032:0.319146:0.678032:0.319146:0.661860:0.300817:0.661860:0.000000 p c:@0.189138:0.701571:0.209595:0.701571:0.209595:0.686534:0.189138:0.686534:0.000000:0.000000:0.000000 ( ) ≥ ( ), .:@0.197599:0.701465:0.325275:0.701464:0.325275:0.686401:0.197599:0.686402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.232462:0.701571:0.253183:0.701571:0.253183:0.686534:0.232462:0.686534:0.000000:0.000000:0.000000 ∀:@0.272492:0.708346:0.283012:0.708346:0.283012:0.691074:0.272492:0.691074:0.000000 x:@0.283019:0.701570:0.289844:0.701570:0.289844:0.686533:0.283019:0.686533:0.000000 :@0.293627:0.700964:0.306884:0.700964:0.306884:0.688865:0.293627:0.688865:0.000000 :@0.310666:0.700461:0.322761:0.700461:0.322761:0.688768:0.310666:0.688768:0.000000 dp:@0.156629:0.276594:0.173392:0.276594:0.173392:0.261558:0.156629:0.261558:0.000000:0.000000 dx:@0.157491:0.292938:0.172548:0.292938:0.172548:0.277901:0.157491:0.277901:0.000000:0.000000 x:@0.250382:0.391721:0.254932:0.391721:0.254932:0.381696:0.250382:0.381696:0.000000 :@0.254932:0.391651:0.268570:0.391651:0.268570:0.381608:0.254932:0.381608:0.000000:0.000000:0.000000 :@0.256281:0.391518:0.266049:0.391518:0.266049:0.382603:0.256281:0.382603:0.000000 :@0.267398:0.391061:0.275864:0.391061:0.275864:0.382876:0.267398:0.382876:0.000000 x:@0.240121:0.487943:0.244671:0.487943:0.244671:0.477919:0.240121:0.477919:0.000000 :@0.244671:0.487873:0.258309:0.487873:0.258309:0.477831:0.244671:0.477831:0.000000:0.000000:0.000000 :@0.246020:0.487741:0.255788:0.487741:0.255788:0.478825:0.246020:0.478825:0.000000 :@0.257137:0.487283:0.265603:0.487283:0.265603:0.479098:0.257137:0.479098:0.000000 x:@0.251848:0.589491:0.256398:0.589491:0.256398:0.579466:0.251848:0.579466:0.000000 :@0.256398:0.589420:0.270036:0.589420:0.270036:0.579378:0.256398:0.579378:0.000000:0.000000:0.000000 :@0.257747:0.589288:0.267515:0.589288:0.267515:0.580373:0.257747:0.580373:0.000000 :@0.268863:0.588831:0.277330:0.588831:0.277330:0.580645:0.268863:0.580645:0.000000 x:@0.241798:0.686303:0.246348:0.686303:0.246348:0.676278:0.241798:0.676278:0.000000 :@0.246348:0.686232:0.259986:0.686232:0.259986:0.676190:0.246348:0.676190:0.000000:0.000000:0.000000 :@0.247697:0.686100:0.257465:0.686100:0.257465:0.677185:0.247697:0.677185:0.000000 :@0.258814:0.685643:0.267280:0.685643:0.267280:0.677458:0.258814:0.677458:0.000000 Competencia :@0.199438:0.104916:0.297061:0.104916:0.297061:0.089444:0.199438:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática:@0.199438:0.117484:0.283501:0.117484:0.283501:0.102012:0.199438:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000