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Popular >

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

Popular Examples

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extreme x^4+4/3 x^3-4x^2 extreme points

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extreme f(x,y)=-9y^2-5x^2+10y+4x extreme points

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extreme x^4-4x^3+7 extreme points

x^{4} - 4 x^{3} + 7

Frequently Asked Questions (FAQ)

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