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Popular Functions >

extreme x^3-12x+5

Solution

extreme points

x^{3} - 12 x + 5

Solution

Maximum (- 2, 21), Minimum (2, - 11)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x + 5 : 21

Maximum (- 2, 21)

Plug

x = 2

into

x^{3} - 12 x + 5 : - 11

Minimum (2, - 11)

Maximum (- 2, 21), Minimum (2, - 11)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme x^3-12x+5 ?
The extreme x^3-12x+5 is Maximum(-2,21),Minimum(2,-11)