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Popular >

extreme 1+7/x-4/(x^2)

Solution

extreme points

1 + \frac{7}{x} - \frac{4}{x ^{2}}

Solution

Maximum (\frac{8}{7}, \frac{65}{16})

Solution steps

f^{'} (x) = \frac{8}{x ^{3}} - \frac{7}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{8}{7},

Decreasing

: \frac{8}{7} < x < \infty

Plug

x = \frac{8}{7}

into

1 + \frac{7}{x} - \frac{4}{x ^{2}} : \frac{65}{16}

Maximum (\frac{8}{7}, \frac{65}{16})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 1+7/x-4/(x^2) ?
The extreme 1+7/x-4/(x^2) is Maximum(8/7 , 65/16)