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

The critical f(x)=(x^2-2x+4)/((x-1)^2) is None

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critical f(x)=(x^2-2x+4)/((x-1)^2)

critical points

f (x) = \frac{x ^{2} - 2 x + 4}{( x - 1 ) ^{2}}

None

Solution steps

\frac{x ^{2} - 2 x + 4}{( x - 1 ) ^{2}}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} - 2 x + 4}{( x - 1 ) ^{2}} : x < 1 or x > 1

\frac{x ^{2} - 2 x + 4}{( x - 1 ) ^{2}}

is not defined at

x = 1

, therefore:

None

x ln (4 x)

3 x^{\frac{1}{2}} - x^{\frac{3}{2}}

f (x) = \frac{4}{3} x^{- \frac{2}{3}} (x - 1)

f (x) = 2 x^{3} + 3 x^{2} - 72 x - 9

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

What is the critical f(x)=(x^2-2x+4)/((x-1)^2) ?
The critical f(x)=(x^2-2x+4)/((x-1)^2) is None