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

The critical f(x)=(x^2+x+4)/((x+2)^2) is x=2

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

critical points

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

x = 2

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = 2, x = - 2

Identify critical points not in

f (x)

domain

Domain of

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

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

is not defined at

x = - 2

, therefore:

x = 2

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