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Popular Functions >

extreme x^3+3x^2-16

Solution

extreme

Solution

Maximum (- 2, - 12), Minimum (0, - 16)

Solution steps

f^{'} (x) = 3 x^{2} + 6 x

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

x^{3} + 3 x^{2} - 16 : - 12

Maximum (- 2, - 12)

Plug

x = 0

into

x^{3} + 3 x^{2} - 16 : - 16

Minimum (0, - 16)

Maximum (- 2, - 12), Minimum (0, - 16)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3+3x^2-16 ?
The extreme x^3+3x^2-16 is Maximum(-2,-12),Minimum(0,-16)