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Popular Functions >

extreme (x+1)^2(x-2)

Solution

extreme

Solution

Maximum (- 1, 0), Minimum (1, - 4)

Solution steps

f^{'} (x) = 3 (x + 1) (x - 1)

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

(x + 1)^{2} (x - 2) : 0

Maximum (- 1, 0)

Plug

x = 1

into

(x + 1)^{2} (x - 2) : - 4

Minimum (1, - 4)

Maximum (- 1, 0), Minimum (1, - 4)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme (x+1)^2(x-2) ?
The extreme (x+1)^2(x-2) is Maximum(-1,0),Minimum(1,-4)