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Popular >

extreme f(x)= 5/(x^2+1)-1

Solution

extreme points

f (x) = \frac{5}{x ^{2} + 1} - 1

Solution

Maximum (0, 4)

Solution steps

f^{'} (x) = - \frac{10 x}{( x ^{2} + 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

\frac{5}{x ^{2} + 1} - 1 : 4

Maximum (0, 4)

Popular Examples

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f (x, y) = x + y - \frac{3}{2} (x^{2} + y^{2} + 1)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= 5/(x^2+1)-1 ?
The extreme f(x)= 5/(x^2+1)-1 is Maximum(0,4)