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

The extreme f(x)=-5x^3+15x+3 is Minimum(-1,-7),Maximum(1,13)

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

extreme points

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

Minimum (- 1, - 7), Maximum (1, 13)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

- 5 x^{3} + 15 x + 3 : - 7

Minimum (- 1, - 7)

Plug

x = 1

into

- 5 x^{3} + 15 x + 3 : 13

Maximum (1, 13)

Minimum (- 1, - 7), Maximum (1, 13)

What is the extreme f(x)=-5x^3+15x+3 ?
The extreme f(x)=-5x^3+15x+3 is Minimum(-1,-7),Maximum(1,13)