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Popular Functions >

extreme 1/(1+x^2)

Solution

extreme points

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

Solution

Maximum (0, 1)

Solution steps

f^{'} (x) = - \frac{2 x}{( 1 + x ^{2} ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

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

Maximum (0, 1)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 1/(1+x^2) ?
The extreme 1/(1+x^2) is Maximum(0,1)