Condiciones Suficientes para la existencia de extremos locales

Condiciones Suficientes para la existencia de extremos locales
Mínimos o Máximos de una función con la Matriz Hessiana
[size=150][justify]El primer paso es calcular los puntos críticos de la función, para esto, calculamos el gradiente de la función (derivadas parciales respecto a cada variable) y lo igualamos a cero. [br]Obtuvimos que nuestro punto crítico p= [math]\left(-1,-1\right)[/math][br]Posteriormente calculamos la matriz Hessiana, que consiste en lo siguiente en calcular las segundas derivadas de nuestra función. [/justify][br][img]https://www.matricesydeterminantes.com/wp-content/ql-cache/quicklatex.com-977a4fa1cef38dcce5611db472ffd9df_l3.svg[/img][br][br]En este caso, nuestra matriz Hessiana es:[br][/size][img]data:image/png;base64,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[/img][br][br][size=150][justify]Evaluamos el punto crítico en la matriz Hessiana: [br][br][img]data:image/png;base64,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[/img][br]En este caso, utilizamos el criterio de Sylvester para resolver la matriz Hessiana.[br][br]El criterio de Sylvester determina que;[br][/justify][list][*]Si la matriz Hessiana es definida positiva, es decir, que todos los menores positivos son mayores que cero, el punto crítico es un mínimo relativo en la función.[/*][*]La matriz Hessiana es definida negativa, si los menores principales par son mayor que 0 y los de índice impar son menores que 0, el punto crítico es un máximo relativo en la función [/*][*]Si no se cumplen los criterios anteriores, la matriz Hessiana es indefinida y por lo tanto el punto crítico es un punto silla [br][br]Calculamos el primer menor de la matriz Hessiana que en este caso fue 6[br]El segundo menor fue negativo, por lo tanto, podemos decir que la matriz Hessiana es Indefinida. [br][br][/*][/list][img]data:image/png;base64,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[/img][br]Como la matriz Hessiana es indefinida, el punto crítico es un punto silla. [br]Finalmente, para poder graficar el punto silla, utilizamos las coordenadas del punto crítico, añadiendo la función evaluada en ese punto, tal que [math]p=\left(-1,-1,-4\right)[/math][br][/size][br][br][br][br][br][br][br]

Information: Condiciones Suficientes para la existencia de extremos locales