What is the extreme f(x)=2x^3-24x+1 ?

The extreme f(x)=2x^3-24x+1 is Maximum(-2,33),Minimum(2,-31)

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extreme f(x)=2x^3-24x+1

extreme

Maximum (- 2, 33), Minimum (2, - 31)

Solution steps

f^{'} (x) = 6 x^{2} - 24

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

2 x^{3} - 24 x + 1 : 33

Maximum (- 2, 33)

Plug

x = 2

into

2 x^{3} - 24 x + 1 : - 31

Minimum (2, - 31)

Maximum (- 2, 33), Minimum (2, - 31)

What is the extreme f(x)=2x^3-24x+1 ?
The extreme f(x)=2x^3-24x+1 is Maximum(-2,33),Minimum(2,-31)