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

The extreme f(x)=2x^3-24x+2 is Maximum(-2,34),Minimum(2,-30)

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

extreme points

f (x) = 2 x^{3} - 24 x + 2

Maximum (- 2, 34), Minimum (2, - 30)

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 + 2 : 34

Maximum (- 2, 34)

Plug

x = 2

into

2 x^{3} - 24 x + 2 : - 30

Minimum (2, - 30)

Maximum (- 2, 34), Minimum (2, - 30)

What is the extreme f(x)=2x^3-24x+2 ?
The extreme f(x)=2x^3-24x+2 is Maximum(-2,34),Minimum(2,-30)