What is the extreme f(x)=x+(22)/x ?

The extreme f(x)=x+(22)/x is Maximum(-sqrt(22),-2sqrt(22)),Minimum(sqrt(22),2sqrt(22))

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extreme f(x)=x+(22)/x

extreme

Maximum (- 22, - 222), Minimum (22, 222)

Solution steps

f^{'} (x) = 1 - \frac{22}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 22,

Decreasing

: - 22 < x < 0,

Decreasing

: 0 < x < 22,

Increasing

: 22 < x < \infty

Plug

x = - 22

into

x + \frac{22}{x} : - 222

Maximum (- 22, - 222)

Plug

x = 22

into

x + \frac{22}{x} : 222

Minimum (22, 222)

Maximum (- 22, - 222), Minimum (22, 222)

What is the extreme f(x)=x+(22)/x ?
The extreme f(x)=x+(22)/x is Maximum(-sqrt(22),-2sqrt(22)),Minimum(sqrt(22),2sqrt(22))