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Popular >

extreme x^{-2}-13x^{-1}

Solution

extreme points

x^{- 2} - 13 x^{- 1}

Solution

Minimum (\frac{2}{13}, - \frac{169}{4})

Solution steps

f^{'} (x) = - \frac{2}{x ^{3}} + \frac{13}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{2}{13},

Increasing

: \frac{2}{13} < x < \infty

Plug

x = \frac{2}{13}

into

x^{- 2} - 13 x^{- 1} : - \frac{169}{4}

Minimum (\frac{2}{13}, - \frac{169}{4})

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Frequently Asked Questions (FAQ)

What is the extreme x^{-2}-13x^{-1} ?
The extreme x^{-2}-13x^{-1} is Minimum(2/13 ,-169/4)