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Popular >

extreme (12)/(x^2+1)

Solution

extreme points

\frac{12}{x ^{2} + 1}

Solution

Maximum (0, 12)

Solution steps

f^{'} (x) = - \frac{24 x}{( x ^{2} + 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

\frac{12}{x ^{2} + 1} : 12

Maximum (0, 12)

Popular Examples

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derivative of (x+y2+2y^2)

\frac{d}{d x} ((x + y) 2 + 2 y^{2})

Frequently Asked Questions (FAQ)

What is the extreme (12)/(x^2+1) ?
The extreme (12)/(x^2+1) is Maximum(0,12)