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Popular Functions >

extreme f(x)=x^9-9x

Solution

extreme points

f (x) = x^{9} - 9 x

Solution

Maximum (- 1, 8), Minimum (1, - 8)

Solution steps

f^{'} (x) = 9 x^{8} - 9

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{9} - 9 x : 8

Maximum (- 1, 8)

Plug

x = 1

into

x^{9} - 9 x : - 8

Minimum (1, - 8)

Maximum (- 1, 8), Minimum (1, - 8)

Graph

Popular Examples

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extreme f(x)=-(x^2+x)^{2/3}extreme points

f (x) = - (x^{2} + x)^{\frac{2}{3}}

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extreme f(x)=98y^2+x^2-x^2y extreme points

f (x) = 98 y^{2} + x^{2} - x^{2} y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^9-9x ?
The extreme f(x)=x^9-9x is Maximum(-1,8),Minimum(1,-8)