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Popular Functions >

extreme f(x)=3x^3-9x

Solution

extreme points

f (x) = 3 x^{3} - 9 x

Solution

Maximum (- 1, 6), Minimum (1, - 6)

Solution steps

f^{'} (x) = 9 x^{2} - 9

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

3 x^{3} - 9 x : 6

Maximum (- 1, 6)

Plug

x = 1

into

3 x^{3} - 9 x : - 6

Minimum (1, - 6)

Maximum (- 1, 6), Minimum (1, - 6)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^3-9x ?
The extreme f(x)=3x^3-9x is Maximum(-1,6),Minimum(1,-6)