What is the extreme f(x)=3x+(27)/x ?

The extreme f(x)=3x+(27)/x is Maximum(-3,-18),Minimum(3,18)

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extreme f(x)=3x+(27)/x

extreme points

f (x) = 3 x + \frac{27}{x}

Maximum (- 3, - 18), Minimum (3, 18)

Solution steps

f^{'} (x) = 3 - \frac{27}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

3 x + \frac{27}{x} : - 18

Maximum (- 3, - 18)

Plug

x = 3

into

3 x + \frac{27}{x} : 18

Minimum (3, 18)

Maximum (- 3, - 18), Minimum (3, 18)

f (x) = (x^{2} - 4)^{2} - 4

f (x) = \frac{2}{3} x^{3} - 4 x^{2} - 45 x

f (x, y) = ln (x + y + 4)

2 x^{3} - 3 x^{2} - 12 x + 5

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

What is the extreme f(x)=3x+(27)/x ?
The extreme f(x)=3x+(27)/x is Maximum(-3,-18),Minimum(3,18)