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Popular >

extreme 1/(x^2-5x-24)

Solution

extreme points

\frac{1}{x ^{2} - 5 x - 24}

Solution

Maximum (\frac{5}{2}, - \frac{4}{121})

Solution steps

f^{'} (x) = - \frac{2 x - 5}{( x ^{2} - 5 x - 24 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \frac{5}{2},

Decreasing

: \frac{5}{2} < x < 8,

Decreasing

: 8 < x < \infty

Plug

x = \frac{5}{2}

into

\frac{1}{x ^{2} - 5 x - 24} : - \frac{4}{121}

Maximum (\frac{5}{2}, - \frac{4}{121})

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Frequently Asked Questions (FAQ)

What is the extreme 1/(x^2-5x-24) ?
The extreme 1/(x^2-5x-24) is Maximum(5/2 ,-4/121)