What is the critical f(x)=xln(5x) ?

The critical f(x)=xln(5x) is x= 1/(5e)

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critical f(x)=xln(5x)

critical points

f (x) = x ln (5 x)

x = \frac{1}{5 e}

Solution steps

x ln (5 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{5 e}, x = 0

Identify critical points not in

f (x)

domain

Domain of

x ln (5 x) : x > 0

x ln (5 x)

is not defined at

x = 0

, therefore:

x = \frac{1}{5 e}

e x t re m e f (x) = 3 x^{4} + 12 x^{3}

a sy m pt o t es \frac{5 e ^{x}}{e ^{x} - 9}

d o main f (x) = \frac{( x - 2 )}{( x + 3 )}

in v erse f (x) = x^{2} - 5, x \geq 0

d o main \frac{x - 6}{x ^{2} - 36}