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Popular Functions >

extreme f(x)= 5/(x^2-49)

Solution

extreme points

f (x) = \frac{5}{x ^{2} - 49}

Solution

Maximum (0, - \frac{5}{49})

Solution steps

f^{'} (x) = - \frac{10 x}{( x ^{2} - 49 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 7,

Increasing

: - 7 < x < 0,

Decreasing

: 0 < x < 7,

Decreasing

: 7 < x < \infty

Plug

x = 0

into

\frac{5}{x ^{2} - 49} : - \frac{5}{49}

Maximum (0, - \frac{5}{49})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= 5/(x^2-49) ?
The extreme f(x)= 5/(x^2-49) is Maximum(0,-5/49)