What is the critical f(x)=(3e^{3x})/(4x-16) ?

The critical f(x)=(3e^{3x})/(4x-16) is x= 13/3

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critical f(x)=(3e^{3x})/(4x-16)

critical points

f (x) = \frac{3 e ^{3 x}}{4 x - 16}

x = \frac{13}{3}

Solution steps

\frac{3 e ^{3 x}}{4 x - 16}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{13}{3}, x = 4

Identify critical points not in

f (x)

domain

Domain of

\frac{3 e ^{3 x}}{4 x - 16} : x < 4 or x > 4

\frac{3 e ^{3 x}}{4 x - 16}

is not defined at

x = 4

, therefore:

x = \frac{13}{3}

What is the critical f(x)=(3e^{3x})/(4x-16) ?
The critical f(x)=(3e^{3x})/(4x-16) is x= 13/3