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Popular >

extreme 49x+1/x

Solution

extreme points

49 x + \frac{1}{x}

Solution

Maximum (- \frac{1}{7}, - 14), Minimum (\frac{1}{7}, 14)

Solution steps

f^{'} (x) = 49 - \frac{1}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - \frac{1}{7},

Decreasing

: - \frac{1}{7} < x < 0,

Decreasing

: 0 < x < \frac{1}{7},

Increasing

: \frac{1}{7} < x < \infty

Plug

x = - \frac{1}{7}

into

49 x + \frac{1}{x} : - 14

Maximum (- \frac{1}{7}, - 14)

Plug

x = \frac{1}{7}

into

49 x + \frac{1}{x} : 14

Minimum (\frac{1}{7}, 14)

Maximum (- \frac{1}{7}, - 14), Minimum (\frac{1}{7}, 14)

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Frequently Asked Questions (FAQ)

What is the extreme 49x+1/x ?
The extreme 49x+1/x is Maximum(-1/7 ,-14),Minimum(1/7 ,14)