What is the extreme f(x)=150x-2x^3 ?

The extreme f(x)=150x-2x^3 is Minimum(-5,-500),Maximum(5,500)

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extreme f(x)=150x-2x^3

extreme points

f (x) = 150 x - 2 x^{3}

Minimum (- 5, - 500), Maximum (5, 500)

Solution steps

f^{'} (x) = 150 - 6 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = - 5

into

150 x - 2 x^{3} : - 500

Minimum (- 5, - 500)

Plug

x = 5

into

150 x - 2 x^{3} : 500

Maximum (5, 500)

Minimum (- 5, - 500), Maximum (5, 500)

f (x) = (x^{2} - 2 x - 8)^{\frac{1}{3}}

f (x) = x^{2} - 10 x - 7

f (x) = (4 x)^{x}, 0.05 \leq x \leq 1

f (x) = ln (x^{2} + 5 x + 9)

f (x) = x^{\frac{1}{2}} - x^{\frac{3}{2}}

What is the extreme f(x)=150x-2x^3 ?
The extreme f(x)=150x-2x^3 is Minimum(-5,-500),Maximum(5,500)