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Popular Functions >

extreme y=2x^3-6x

Solution

extreme

Solution

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

Solution steps

f^{'} (x) = 6 x^{2} - 6

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

2 x^{3} - 6 x : 4

Maximum (- 1, 4)

Plug

x = 1

into

2 x^{3} - 6 x : - 4

Minimum (1, - 4)

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme y=2x^3-6x ?
The extreme y=2x^3-6x is Maximum(-1,4),Minimum(1,-4)