What is the extreme x(x^2-9) ?

The extreme x(x^2-9) is Maximum(-sqrt(3),6sqrt(3)),Minimum(sqrt(3),-6sqrt(3))

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extreme x(x^2-9)

extreme points

x (x^{2} - 9)

Maximum (- 3, 63), Minimum (3, - 63)

Solution steps

f^{'} (x) = 3 (x + 3) (x - 3)

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x (x^{2} - 9) : 63

Maximum (- 3, 63)

Plug

x = 3

into

x (x^{2} - 9) : - 63

Minimum (3, - 63)

Maximum (- 3, 63), Minimum (3, - 63)

What is the extreme x(x^2-9) ?
The extreme x(x^2-9) is Maximum(-sqrt(3),6sqrt(3)),Minimum(sqrt(3),-6sqrt(3))