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Popular >

extreme 1+5/x-9/(x^2)

Solution

extreme points

1 + \frac{5}{x} - \frac{9}{x ^{2}}

Solution

Maximum (\frac{18}{5}, \frac{61}{36})

Solution steps

f^{'} (x) = \frac{18}{x ^{3}} - \frac{5}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{18}{5},

Decreasing

: \frac{18}{5} < x < \infty

Plug

x = \frac{18}{5}

into

1 + \frac{5}{x} - \frac{9}{x ^{2}} : \frac{61}{36}

Maximum (\frac{18}{5}, \frac{61}{36})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 1+5/x-9/(x^2) ?
The extreme 1+5/x-9/(x^2) is Maximum(18/5 , 61/36)