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

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

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

extreme points

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

Maximum (- 5, 105), Minimum (5, - 105)

Solution steps

f^{'} (x) = 3 x^{2} - 15

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 5

into

x^{3} - 15 x : 105

Maximum (- 5, 105)

Plug

x = 5

into

x^{3} - 15 x : - 105

Minimum (5, - 105)

Maximum (- 5, 105), Minimum (5, - 105)

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