What is the extreme f(x)=x^3-12x-5 ?

The extreme f(x)=x^3-12x-5 is Maximum(-2,11),Minimum(2,-21)

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extreme f(x)=x^3-12x-5

extreme points

f (x) = x^{3} - 12 x - 5

Maximum (- 2, 11), Minimum (2, - 21)

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 - 5 : 11

Maximum (- 2, 11)

Plug

x = 2

into

x^{3} - 12 x - 5 : - 21

Minimum (2, - 21)

Maximum (- 2, 11), Minimum (2, - 21)

What is the extreme f(x)=x^3-12x-5 ?
The extreme f(x)=x^3-12x-5 is Maximum(-2,11),Minimum(2,-21)