What is the extreme f(x)=x+(30)/x ?

The extreme f(x)=x+(30)/x is Maximum(-sqrt(30),-2sqrt(30)),Minimum(sqrt(30),2sqrt(30))

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extreme f(x)=x+(30)/x

extreme points

f (x) = x + \frac{30}{x}

Maximum (- 30, - 230), Minimum (30, 230)

Solution steps

f^{'} (x) = 1 - \frac{30}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 30,

Decreasing

: - 30 < x < 0,

Decreasing

: 0 < x < 30,

Increasing

: 30 < x < \infty

Plug

x = - 30

into

x + \frac{30}{x} : - 230

Maximum (- 30, - 230)

Plug

x = 30

into

x + \frac{30}{x} : 230

Minimum (30, 230)

Maximum (- 30, - 230), Minimum (30, 230)

\frac{5 x + 4}{x + x}

F (x, y) = x \cdot y + \frac{π \cdot ( \frac{x}{2} ) ^{2}}{2}

f (x) = - \frac{5 x ^{4}}{4} - \frac{4 x ^{3}}{3} - 4

f (x) = 4 (z^{- x}) + 1

y = 15 x e^{- x}

What is the extreme f(x)=x+(30)/x ?
The extreme f(x)=x+(30)/x is Maximum(-sqrt(30),-2sqrt(30)),Minimum(sqrt(30),2sqrt(30))