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Popular >

extreme (x^2-1)/(x^2+4)

Solution

extreme points

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

Solution

Minimum (0, - \frac{1}{4})

Solution steps

f^{'} (x) = \frac{10 x}{( x ^{2} + 4 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, - \frac{1}{4})

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Frequently Asked Questions (FAQ)

What is the extreme (x^2-1)/(x^2+4) ?
The extreme (x^2-1)/(x^2+4) is Minimum(0,-1/4)