What is the critical f(x)=sqrt(x)ln(9x) ?

The critical f(x)=sqrt(x)ln(9x) is x= 1/(9e^2)

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critical f(x)=sqrt(x)ln(9x)

critical points

f (x) = x ln (9 x)

x = \frac{1}{9 e ^{2}}

Solution steps

x ln (9 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{9 e ^{2}}, x = 0

Identify critical points not in

f (x)

domain

Domain of

x ln (9 x) : x > 0

x ln (9 x)

is not defined at

x = 0

, therefore:

x = \frac{1}{9 e ^{2}}

What is the critical f(x)=sqrt(x)ln(9x) ?
The critical f(x)=sqrt(x)ln(9x) is x= 1/(9e^2)