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Popular Functions >

extreme f(x)=(x+3)/(x^2)

Solution

extreme points

f (x) = \frac{x + 3}{x ^{2}}

Solution

Minimum (- 6, - \frac{1}{12})

Solution steps

f^{'} (x) = \frac{- x - 6}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 6

into

\frac{x + 3}{x ^{2}} : - \frac{1}{12}

Minimum (- 6, - \frac{1}{12})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+3)/(x^2) ?
The extreme f(x)=(x+3)/(x^2) is Minimum(-6,-1/12)