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Popular Functions >

extreme f(x)=-x^4+2x^3+8x

Solution

extreme points

f (x) = - x^{4} + 2 x^{3} + 8 x

Solution

Maximum (2, 16)

Solution steps

f^{'} (x) = - 4 x^{3} + 6 x^{2} + 8

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- x^{4} + 2 x^{3} + 8 x : 16

Maximum (2, 16)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^4+2x^3+8x ?
The extreme f(x)=-x^4+2x^3+8x is Maximum(2,16)