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 points

f (x) = x + \frac{22}{x}

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)

y = 6 x - 7 x^{\frac{6}{7}}

f (x, y) = ln (x^{2} + y^{2} - 64)

(x + 6)^{\frac{2}{3}}

x^{2} y^{2} - x - y

\frac{x ^{2} + 2}{x ^{2} - 4 x}

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))