What is the critical f(x)=(x^3)/(x-2) ?

The critical f(x)=(x^3)/(x-2) is x=0,x=3

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critical f(x)=(x^3)/(x-2)

critical

x = 0, x = 3

Solution steps

\frac{x ^{3}}{x - 2}

Find where

f^{'} (x)

is equal to zero or undefined

x = 0, x = 3, x = 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{3}}{x - 2} : x < 2 or x > 2

\frac{x ^{3}}{x - 2}

is not defined at

x = 2

, therefore:

x = 0, x = 3

What is the critical f(x)=(x^3)/(x-2) ?
The critical f(x)=(x^3)/(x-2) is x=0,x=3