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Popular Functions >

extreme y=x^3-12x+3

Solution

extreme

Solution

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

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 : 19

Maximum (- 2, 19)

Plug

x = 2

into

x^{3} - 12 x + 3 : - 13

Minimum (2, - 13)

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

Graph

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Frequently Asked Questions (FAQ)

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