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Popular >

extreme 4x^3-12x

Solution

extreme points

4 x^{3} - 12 x

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

4 x^{3} - 12 x : 8

Maximum (- 1, 8)

Plug

x = 1

into

4 x^{3} - 12 x : - 8

Minimum (1, - 8)

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

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 4x^3-12x ?
The extreme 4x^3-12x is Maximum(-1,8),Minimum(1,-8)