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Popular >

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

: - \infty < x < - 1,

Decreasing

Decreasing

Plug

x = - 1

into

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

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

Popular Examples

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f (x) = 49 x + \frac{16}{x}

extreme f(x)=x^2+10x+9 extreme points

f (x) = x^{2} + 10 x + 9

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)