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diagramas de flujo de excel, Schemes and Mind Maps of Civil Law

Lake Superior College Civil Law

son diagramas de flujo con ejemplos

Typology: Schemes and Mind Maps

2025/2026

Uploaded on 12/11/2025

yazit-garcia 🇺🇸

1 document

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TEOREMA DE ROLLE

EJERCICIO 1

SOLUCIÓN

1) Obtener la derivada de la función

2) Igualar a cero la derivada

3) Resolver la ecuación para obtener los valores críticos

Intervalo k f´(k)

-1 25

+

3 -135

-

5 625

+

5) Graficar la función

4) Para saber en qué intervalos la derivada es positiva o negativa, es decir, la función es

creciente o decreciente, tomamos valores de prueba como sigue:

Signo de

f´(k)

𝐇𝐚𝐥𝐥𝐚𝐫 𝐥𝐨𝐬 𝐢𝐧𝐭𝐞𝐫𝐯𝐚𝐥𝐨𝐬 𝐞𝐧 𝐝𝐨𝐧𝐝𝐞 𝐥𝐚 𝐟𝐮𝐧𝐜𝐢ó𝐧 𝐟(𝐱)= 𝐱^𝟓−𝟓𝐱^𝟒 𝐞𝐬 𝐜𝐫𝐞𝐜𝐢𝐞𝐧𝐭𝐞

𝐲 𝐞𝐧 𝐝𝐨𝐧𝐝𝐞 𝐞𝐬 𝐝𝐞𝐜𝐫𝐞𝐜𝐢𝐞𝐧𝐭𝐞

f(x)=x

𝐟(𝐱)=𝟓𝐱^𝟒−𝟐𝟎𝐱^𝟑=𝟎

𝟓𝐱^𝟑 (𝐱−𝟒)=𝟎

𝟓𝐱^𝟑=𝟎 (𝐱−𝟒)=𝟎

x=𝟎 x=4

−∞,0

0,4

4,+∞

𝐟(−𝟏)=𝟓 〖(−𝟏) 〗^𝟒−𝟐𝟎 〖(−𝟏) 〗^𝟑

𝐟(𝟑)=𝟓 〖(𝟑) 〗^𝟒−𝟐𝟎 〖(𝟑) 〗^𝟑

𝐟(𝟓)=𝟓 〖(𝟓) 〗^𝟒−𝟐𝟎 〖(𝟓) 〗^𝟑

Discover Schemes and Mind Maps of Civil Law Lake Superior College

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TEOREMA DE ROLLE

EJERCICIO 1

SOLUCIÓN

1) Obtener la derivada de la función

2) Igualar a cero la derivada

3) Resolver la ecuación para obtener los valores críticos

Intervalo k f´(k) -1 25

3 -

5 625

5) Graficar la función

4) Para saber en qué intervalos la derivada es positiva o negativa, es decir, la función

creciente o decreciente, tomamos valores de prueba como sigue:

Signo de f´(k) 𝐇𝐚𝐥𝐥𝐚𝐫 𝐥𝐨𝐬 𝐢𝐧𝐭𝐞𝐫𝐯𝐚𝐥𝐨𝐬 𝐞𝐧 𝐝𝐨𝐧𝐝𝐞 𝐥𝐚 𝐟𝐮𝐧𝐜𝐢ó𝐧 𝐟(𝐱)= 𝐱^𝟓−𝟓𝐱^𝟒 𝐞𝐬 𝐜𝐫𝐞𝐜𝐢𝐞𝐧𝐭𝐞 𝐲 𝐞𝐧 𝐝𝐨𝐧𝐝𝐞 𝐞𝐬 𝐝𝐞𝐜𝐫𝐞𝐜𝐢𝐞𝐧𝐭𝐞 f(x)=x 𝐟(𝐱)=𝟓𝐱^𝟒−𝟐𝟎𝐱^𝟑=𝟎 𝟓𝐱^𝟑 (𝐱−𝟒)=𝟎 𝟓𝐱^𝟑=𝟎 (𝐱−𝟒)=𝟎 x=𝟎 x=^4 −∞, 0, 4,+∞

diagramas de flujo de excel, Schemes and Mind Maps of Civil Law

Related documents

Partial preview of the text

Download diagramas de flujo de excel and more Schemes and Mind Maps Civil Law in PDF only on Docsity!

TEOREMA DE ROLLE

EJERCICIO 1

1) Obtener la derivada de la función

2) Igualar a cero la derivada

3) Resolver la ecuación para obtener los valores críticos

5) Graficar la función

4) Para saber en qué intervalos la derivada es positiva o negativa, es decir, la función

creciente o decreciente, tomamos valores de prueba como sigue:

𝐟(−𝟏)=𝟓 〖 (−𝟏) 〗 ^𝟒−𝟐𝟎 〖 (−𝟏) 〗 ^𝟑

𝐟(𝟑)=𝟓 〖 (𝟑) 〗 ^𝟒−𝟐𝟎 〖 (𝟑) 〗 ^𝟑

𝐟(𝟓)=𝟓 〖 (𝟓) 〗 ^𝟒−𝟐𝟎 〖 (𝟓) 〗 ^𝟑

x f(x)