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Popular >

extreme-x^3+12x-15

Solution

extreme points

- x^{3} + 12 x - 15

Solution

Minimum (- 2, - 31), Maximum (2, 1)

Solution steps

f^{'} (x) = - 3 x^{2} + 12

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

- x^{3} + 12 x - 15 : - 31

Minimum (- 2, - 31)

Plug

x = 2

into

- x^{3} + 12 x - 15 : 1

Maximum (2, 1)

Minimum (- 2, - 31), Maximum (2, 1)

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Frequently Asked Questions (FAQ)

What is the extreme-x^3+12x-15 ?
The extreme-x^3+12x-15 is Minimum(-2,-31),Maximum(2,1)