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Popular >

extreme-x^3-6x^2

Solution

extreme points

- x^{3} - 6 x^{2}

Solution

Minimum (- 4, - 32), Maximum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 4

into

- x^{3} - 6 x^{2} : - 32

Minimum (- 4, - 32)

Plug

x = 0

into

- x^{3} - 6 x^{2} : 0

Maximum (0, 0)

Minimum (- 4, - 32), Maximum (0, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme-x^3-6x^2 ?
The extreme-x^3-6x^2 is Minimum(-4,-32),Maximum(0,0)