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

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

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

extreme points

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

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

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 : 30

Maximum (- 2, 30)

Plug

x = 2

into

2 x^{3} - 24 x - 2 : - 34

Minimum (2, - 34)

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

f (x) = \frac{x + 5}{x ^{3} - x ^{2} - 4 x + 4}

3 x^{2} + x - 5

f (4) = 2 x - 10

f (x) = x^{3} - 27 - 1

f (x) = ∣ 2 x - 3 ∣

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