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Popular >

extreme f(x)=(-5)/(x^2-4)

Solution

extreme points

f (x) = \frac{- 5}{x ^{2} - 4}

Solution

Minimum (0, \frac{5}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

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

Minimum (0, \frac{5}{4})

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Frequently Asked Questions (FAQ)

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