What is the critical f(x)=3x+2/x+6 ?

The critical f(x)=3x+2/x+6 is x=-sqrt(2/3),x=sqrt(2/3)

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critical f(x)=3x+2/x+6

critical points

f (x) = 3 x + \frac{2}{x} + 6

x = - \frac{2}{3}, x = \frac{2}{3}

Solution steps

3 x + \frac{2}{x} + 6

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{2}{3}, x = \frac{2}{3}, x = 0

Identify critical points not in

f (x)

domain

Domain of

3 x + \frac{2}{x} + 6 : x < 0 or x > 0

3 x + \frac{2}{x} + 6

is not defined at

x = 0

, therefore:

x = - \frac{2}{3}, x = \frac{2}{3}

What is the critical f(x)=3x+2/x+6 ?
The critical f(x)=3x+2/x+6 is x=-sqrt(2/3),x=sqrt(2/3)