What is the extreme f(x)=x+(100)/x ?

The extreme f(x)=x+(100)/x is Maximum(-10,-20),Minimum(10,20)

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extreme f(x)=x+(100)/x

extreme points

f (x) = x + \frac{100}{x}

Maximum (- 10, - 20), Minimum (10, 20)

Solution steps

f^{'} (x) = 1 - \frac{100}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 10,

Decreasing

: - 10 < x < 0,

Decreasing

: 0 < x < 10,

Increasing

: 10 < x < \infty

Plug

x = - 10

into

x + \frac{100}{x} : - 20

Maximum (- 10, - 20)

Plug

x = 10

into

x + \frac{100}{x} : 20

Minimum (10, 20)

Maximum (- 10, - 20), Minimum (10, 20)

What is the extreme f(x)=x+(100)/x ?
The extreme f(x)=x+(100)/x is Maximum(-10,-20),Minimum(10,20)