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Popular >

extreme h(x)=x^3-12x

Solution

extreme points

h (x) = x^{3} - 12 x

Solution

Maximum (- 2, 16), Minimum (2, - 16)

Solution steps

f^{'} (x) = 3 x^{2} - 12

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x : 16

Maximum (- 2, 16)

Plug

x = 2

into

x^{3} - 12 x : - 16

Minimum (2, - 16)

Maximum (- 2, 16), Minimum (2, - 16)

Graph

Popular Examples

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f (x) = x^{2} - 11

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Frequently Asked Questions (FAQ)

What is the extreme h(x)=x^3-12x ?
The extreme h(x)=x^3-12x is Maximum(-2,16),Minimum(2,-16)