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Popular >

extreme 1/(x^2+2x-8)

Solution

extreme points

\frac{1}{x ^{2} + 2 x - 8}

Solution

Maximum (- 1, - \frac{1}{9})

Solution steps

f^{'} (x) = - \frac{2 x + 2}{( x ^{2} + 2 x - 8 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 4,

Increasing

: - 4 < x < - 1,

Decreasing

: - 1 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 1

into

\frac{1}{x ^{2} + 2 x - 8} : - \frac{1}{9}

Maximum (- 1, - \frac{1}{9})

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Frequently Asked Questions (FAQ)

What is the extreme 1/(x^2+2x-8) ?
The extreme 1/(x^2+2x-8) is Maximum(-1,-1/9)