What is the extreme f(x)= x/2+2/x ?

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

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extreme f(x)= x/2+2/x

extreme

Maximum (- 2, - 2), Minimum (2, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

\frac{x}{2} + \frac{2}{x} : - 2

Maximum (- 2, - 2)

Plug

x = 2

into

\frac{x}{2} + \frac{2}{x} : 2

Minimum (2, 2)

Maximum (- 2, - 2), Minimum (2, 2)

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