What is the extreme x+3/x ?

The extreme x+3/x is Maximum(-sqrt(3),-2sqrt(3)),Minimum(sqrt(3),2sqrt(3))

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extreme x+3/x

extreme

Maximum (- 3, - 23), Minimum (3, 23)

Solution steps

f^{'} (x) = 1 - \frac{3}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x + \frac{3}{x} : - 23

Maximum (- 3, - 23)

Plug

x = 3

into

x + \frac{3}{x} : 23

Minimum (3, 23)

Maximum (- 3, - 23), Minimum (3, 23)

What is the extreme x+3/x ?
The extreme x+3/x is Maximum(-sqrt(3),-2sqrt(3)),Minimum(sqrt(3),2sqrt(3))