What is the extreme f(x)=13x+1/x ?

The extreme f(x)=13x+1/x is Maximum(-1/(sqrt(13)),-2sqrt(13)),Minimum(1/(sqrt(13)),2sqrt(13))

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extreme f(x)=13x+1/x

extreme

Maximum (- \frac{1}{13}, - 213), Minimum (\frac{1}{13}, 213)

Solution steps

f^{'} (x) = 13 - \frac{1}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - \frac{1}{13},

Decreasing

: - \frac{1}{13} < x < 0,

Decreasing

: 0 < x < \frac{1}{13},

Increasing

: \frac{1}{13} < x < \infty

Plug

x = - \frac{1}{13}

into

13 x + \frac{1}{x} : - 213

Maximum (- \frac{1}{13}, - 213)

Plug

x = \frac{1}{13}

into

13 x + \frac{1}{x} : 213

Minimum (\frac{1}{13}, 213)

Maximum (- \frac{1}{13}, - 213), Minimum (\frac{1}{13}, 213)

What is the extreme f(x)=13x+1/x ?
The extreme f(x)=13x+1/x is Maximum(-1/(sqrt(13)),-2sqrt(13)),Minimum(1/(sqrt(13)),2sqrt(13))