What is the extreme x^3-9x+2 ?

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

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extreme x^3-9x+2

extreme

Maximum (- 3, 63 + 2), Minimum (3, - 63 + 2)

Solution steps

f^{'} (x) = 3 x^{2} - 9

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 9 x + 2 : 63 + 2

Maximum (- 3, 63 + 2)

Plug

x = 3

into

x^{3} - 9 x + 2 : - 63 + 2

Minimum (3, - 63 + 2)

Maximum (- 3, 63 + 2), Minimum (3, - 63 + 2)

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