What is the critical f(x)=xln(4x) ?

The critical f(x)=xln(4x) is x= 1/(4e)

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critical f(x)=xln(4x)

critical points

f (x) = x ln (4 x)

x = \frac{1}{4 e}

Solution steps

x ln (4 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{4 e}, x = 0

Identify critical points not in

f (x)

domain

Domain of

x ln (4 x) : x > 0

x ln (4 x)

is not defined at

x = 0

, therefore:

x = \frac{1}{4 e}

x^{2} - 5 x + 3

e^{x + 1} - 3

- \frac{1}{4 x}

f (x) = sin (x)

f (x) = (x + 6) (x - 3)