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Popular Functions >

extreme f(x)= x/(x^3+2)

Solution

extreme points

f (x) = \frac{x}{x ^{3} + 2}

Solution

Maximum (1, \frac{1}{3})

Solution steps

f^{'} (x) = \frac{- 2 x ^{3} + 2}{( x ^{3} + 2 ) ^{2}}

Find intervals:

Increasing

Increasing

Decreasing

: 1 < x < \infty

Plug

x = 1

into

\frac{x}{x ^{3} + 2} : \frac{1}{3}

Maximum (1, \frac{1}{3})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= x/(x^3+2) ?
The extreme f(x)= x/(x^3+2) is Maximum(1, 1/3)