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Popular >

extreme (x-7)/(x^2)

Solution

extreme points

\frac{x - 7}{x ^{2}}

Solution

Maximum (14, \frac{1}{28})

Solution steps

f^{'} (x) = \frac{- x + 14}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 14,

Decreasing

: 14 < x < \infty

Plug

x = 14

into

\frac{x - 7}{x ^{2}} : \frac{1}{28}

Maximum (14, \frac{1}{28})

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Frequently Asked Questions (FAQ)

What is the extreme (x-7)/(x^2) ?
The extreme (x-7)/(x^2) is Maximum(14, 1/28)