What is the extreme f(x)=5x^3-15x ?

The extreme f(x)=5x^3-15x is Maximum(-1,10),Minimum(1,-10)

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extreme f(x)=5x^3-15x

extreme points

f (x) = 5 x^{3} - 15 x

Maximum (- 1, 10), Minimum (1, - 10)

Solution steps

f^{'} (x) = 15 x^{2} - 15

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

5 x^{3} - 15 x : 10

Maximum (- 1, 10)

Plug

x = 1

into

5 x^{3} - 15 x : - 10

Minimum (1, - 10)

Maximum (- 1, 10), Minimum (1, - 10)

What is the extreme f(x)=5x^3-15x ?
The extreme f(x)=5x^3-15x is Maximum(-1,10),Minimum(1,-10)