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Máximos y Mínimos en Cálculo Integral

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Máximos y Mínimos en Cálculo Integral

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Extremos e integrales

Created by

Brandon Barrera
Brandon Barrera
Mexico

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Máximos y Mínimos en Cálculo Integral
 

Máximos y Mínimos en Cálculo IntegralOnline version

Extremos e integrales

by Brandon Barrera
1

1) Al identificar un punto crítico, ¿qué indica el criterio del primer derivado?

2

2) ¿Qué prueba se usa para clasificar extremos con la segunda derivada?

3

3) Si f' cambia de positiva a negativa en x0, ¿qué es x0?

4

4) Si f(x) ≥ 0 para todo x, ¿qué dice respecto a F(x)=∫_a^x f(t) dt?

5

5) ¿Qué indica F'(x)=f(x) acerca de extremos de F?

6

6) Si f''(x0)>0 y f'(x0)=0, ¿qué tipo de extremo tiene f en x0?

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7) Si f''(x)>0 para todo x en [a,b], ¿qué propiedad tiene f?

8

8) ¿Qué sucede con F si f(x)=0 en un intervalo [u,v]?

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9) Para hallar extremos de f en [a,b], ¿qué pasos se recomiendan?

10

10) Si f≥0 en [a,b], ¿qué puede decirse de F(x)=∫_a^x f(t) dt para x en [a,b]?

 
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