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

The critical f(x)= x/((x+1)^2) is x=1

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

critical points

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

x = 1

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = - 1

Identify critical points not in

f (x)

domain

Domain of

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

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

is not defined at

x = - 1

, therefore:

x = 1

f (x) = x^{2} + 8 x + 16

f (x) = 3 x - x^{2} - x y

f (x) = x y + 5 x - 5

f (x, y) = 3 y^{2} - 2 y^{3} - 3 x^{2} + 6 x y

f (x, y) = (x^{2} - y^{2}) (x^{2} + y^{2})