What is the critical f(x)=(x^2-4x+10)/((x-2)^2) ?

The critical f(x)=(x^2-4x+10)/((x-2)^2) is None

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critical f(x)=(x^2-4x+10)/((x-2)^2)

critical points

f (x) = \frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}}

None

Solution steps

\frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}}

Find where

f^{'} (x)

is equal to zero or undefined

x = 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}} : x < 2 or x > 2

\frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}}

is not defined at

x = 2

, therefore:

None

f (x) = \frac{3 x ^{2} - 12 x + 5}{x ^{2} + 4}

- 2 x^{3} - 7

\frac{( 2 x ^{5} - 9 x ^{3} + 8 )}{- 4 x ^{2} + 6}

f (x) = x^{\frac{1}{7}} + 5

2^{x}

What is the critical f(x)=(x^2-4x+10)/((x-2)^2) ?
The critical f(x)=(x^2-4x+10)/((x-2)^2) is None