What is the extreme f(x)=3x^3-36x-3 ?

The extreme f(x)=3x^3-36x-3 is Maximum(-2,45),Minimum(2,-51)

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extreme f(x)=3x^3-36x-3

extreme

Maximum (- 2, 45), Minimum (2, - 51)

Solution steps

f^{'} (x) = 9 x^{2} - 36

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

3 x^{3} - 36 x - 3 : 45

Maximum (- 2, 45)

Plug

x = 2

into

3 x^{3} - 36 x - 3 : - 51

Minimum (2, - 51)

Maximum (- 2, 45), Minimum (2, - 51)

What is the extreme f(x)=3x^3-36x-3 ?
The extreme f(x)=3x^3-36x-3 is Maximum(-2,45),Minimum(2,-51)