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Popular >

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

Solution

extreme points

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

Solution

Maximum (0, 1)

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{1 - x ^{2}}{1 + x ^{2}} : 1

Maximum (0, 1)

Popular Examples

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f (x, y) = 3 x^{2} + 2 y^{2}

extreme f(x)=-3/5 x^5+9x^4-35x^3+6 extreme points

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f (x, y) = x - y

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f (x, y) = y^{4} + x^{2} - 8 y^{2} + 2 x

Frequently Asked Questions (FAQ)

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