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Popular >

extreme 1/(x^2-x-6)

Solution

extreme points

\frac{1}{x ^{2} - x - 6}

Solution

Maximum (\frac{1}{2}, - \frac{4}{25})

Solution steps

f^{'} (x) = - \frac{2 x - 1}{( x ^{2} - x - 6 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Increasing

: - 2 < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = \frac{1}{2}

into

\frac{1}{x ^{2} - x - 6} : - \frac{4}{25}

Maximum (\frac{1}{2}, - \frac{4}{25})

Popular Examples

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extreme f(x)=39+6x+(54)/x ,0<x<27 extreme points

f (x) = 39 + 6 x + \frac{54}{x}, 0 < x < 27

Frequently Asked Questions (FAQ)

What is the extreme 1/(x^2-x-6) ?
The extreme 1/(x^2-x-6) is Maximum(1/2 ,-4/25)