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

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

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

extreme points

f (x) = x + \frac{13}{x}

Maximum (- 13, - 213), Minimum (13, 213)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 13,

Decreasing

: - 13 < x < 0,

Decreasing

: 0 < x < 13,

Increasing

: 13 < x < \infty

Plug

x = - 13

into

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

Maximum (- 13, - 213)

Plug

x = 13

into

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

Minimum (13, 213)

Maximum (- 13, - 213), Minimum (13, 213)

f (x) = \frac{2 x}{x ^{2} + 9}

2 x^{3} - 4 x^{2} + 2 x + 1

y (x, t) = x (3 t)

f (x) = 3 x^{\frac{2}{3}} - 2 x [- 1.1]

f (x) = x^{2} + 3 x + 5

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