What is the critical f(x)=(x^2sqrt(x-1))/(1-x) ?

The critical f(x)=(x^2sqrt(x-1))/(1-x) is x= 4/3

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critical f(x)=(x^2sqrt(x-1))/(1-x)

critical points

f (x) = \frac{x ^{2} x - 1}{1 - x}

x = \frac{4}{3}

Solution steps

\frac{x ^{2} x - 1}{1 - x}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{4}{3}, x = 1

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} x - 1}{1 - x} : x > 1

\frac{x ^{2} x - 1}{1 - x}

is not defined at

x = 1

, therefore:

x = \frac{4}{3}

What is the critical f(x)=(x^2sqrt(x-1))/(1-x) ?
The critical f(x)=(x^2sqrt(x-1))/(1-x) is x= 4/3