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

The extreme f(x)=24x-2x^3 is Minimum(-2,-32),Maximum(2,32)

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

extreme points

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

Minimum (- 2, - 32), Maximum (2, 32)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

24 x - 2 x^{3} : - 32

Minimum (- 2, - 32)

Plug

x = 2

into

24 x - 2 x^{3} : 32

Maximum (2, 32)

Minimum (- 2, - 32), Maximum (2, 32)

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 5 x - 2 y

f (x, y) = 2 x^{2} + 3 x y + y^{2} + 5

f (x) = x^{4} + 8 x^{3} + 22 x^{2} + 24 x + 9

f (x, y) = 2 x^{3} + 6 x y^{2} - 3 y^{3} - 150 x

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

What is the extreme f(x)=24x-2x^3 ?
The extreme f(x)=24x-2x^3 is Minimum(-2,-32),Maximum(2,32)