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Popular Functions >

extreme x^3-3x-2

Solution

extreme

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, 0)

Plug

x = 1

into

x^{3} - 3 x - 2 : - 4

Minimum (1, - 4)

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

Graph

Popular Examples

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extreme y=sqrt(|x|)

extreme f(x)=2x-3sin(x)

Frequently Asked Questions (FAQ)

What is the extreme x^3-3x-2 ?
The extreme x^3-3x-2 is Maximum(-1,0),Minimum(1,-4)