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Popular >

extreme x^3-12x-3

Solution

extreme points

x^{3} - 12 x - 3

Solution

Maximum (- 2, 13), Minimum (2, - 19)

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 - 3 : 13

Maximum (- 2, 13)

Plug

x = 2

into

x^{3} - 12 x - 3 : - 19

Minimum (2, - 19)

Maximum (- 2, 13), Minimum (2, - 19)

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Frequently Asked Questions (FAQ)

What is the extreme x^3-12x-3 ?
The extreme x^3-12x-3 is Maximum(-2,13),Minimum(2,-19)