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Popular >

extreme f(x)=(18)/(x^2+2)

Solution

extreme points

f (x) = \frac{18}{x ^{2} + 2}

Solution

Maximum (0, 9)

Solution steps

f^{'} (x) = - \frac{36 x}{( x ^{2} + 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

\frac{18}{x ^{2} + 2} : 9

Maximum (0, 9)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(18)/(x^2+2) ?
The extreme f(x)=(18)/(x^2+2) is Maximum(0,9)