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

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

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

critical points

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

x = - 3, x = 3

Solution steps

\frac{x}{3} + \frac{3}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 3, x = 3, x = 0

Identify critical points not in

f (x)

domain

Domain of

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

\frac{x}{3} + \frac{3}{x}

is not defined at

x = 0

, therefore:

x = - 3, x = 3