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Popular >

extreme f(x)= 2/((1+x^2))

Solution

extreme points

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

Solution

Maximum (0, 2)

Solution steps

f^{'} (x) = - \frac{4 x}{( 1 + x ^{2} ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

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

Maximum (0, 2)

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Frequently Asked Questions (FAQ)

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