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 points

x + \frac{3}{x}

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)

f (x, y) = 6 x^{2} + y^{3} - 12 x y + 2

f (x) = x^{2} - 10

- x^{3} + 9 x^{2}

f (x) = 6 x^{3} - 9 x^{2} - 108 x + 9

f (x) = x e^{6 x}

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