What is the critical f(x)=xln(8x) ?

The critical f(x)=xln(8x) is x= 1/(8e)

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critical f(x)=xln(8x)

critical points

f (x) = x ln (8 x)

x = \frac{1}{8 e}

Solution steps

x ln (8 x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{1}{8 e}, x = 0

Identify critical points not in

f (x)

domain

Domain of

x ln (8 x) : x > 0

x ln (8 x)

is not defined at

x = 0

, therefore:

x = \frac{1}{8 e}

\frac{2 x ^{2} - 5 x + 5}{x - 2}

f (x) = - (x - 2) (x^{2} - 25) (3 x + 6)

4 x^{2} - 32

f (x) = 3^{x} - 1

(1, 9), (5, - 3)