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Popular >

extreme x^3+12x^2-18

Solution

extreme points

x^{3} + 12 x^{2} - 18

Solution

Maximum (- 8, 238), Minimum (0, - 18)

Solution steps

f^{'} (x) = 3 x^{2} + 24 x

Find intervals:

Increasing

: - \infty < x < - 8,

Decreasing

: - 8 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 8

into

x^{3} + 12 x^{2} - 18 : 238

Maximum (- 8, 238)

Plug

x = 0

into

x^{3} + 12 x^{2} - 18 : - 18

Minimum (0, - 18)

Maximum (- 8, 238), Minimum (0, - 18)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3+12x^2-18 ?
The extreme x^3+12x^2-18 is Maximum(-8,238),Minimum(0,-18)