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Popular Functions >

extreme 1+7/x-3/(x^2)

Solution

extreme

Solution

Maximum (\frac{6}{7}, \frac{61}{12})

Solution steps

f^{'} (x) = \frac{6}{x ^{3}} - \frac{7}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{6}{7},

Decreasing

: \frac{6}{7} < x < \infty

Plug

x = \frac{6}{7}

into

1 + \frac{7}{x} - \frac{3}{x ^{2}} : \frac{61}{12}

Maximum (\frac{6}{7}, \frac{61}{12})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 1+7/x-3/(x^2) ?
The extreme 1+7/x-3/(x^2) is Maximum(6/7 , 61/12)