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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} + 1} : 0

Minimum (0, 0)

Popular Examples

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2 x + 3 y = 18

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critical f(x)=48x-4x^2 critical points

f (x) = 48 x - 4 x^{2}

periodicity of f(x)=sin(1/2)(x+pi)+4 periodicity

f (x) = sin (\frac{1}{2}) (x + π) + 4

Frequently Asked Questions (FAQ)

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