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

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

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

critical points

y = \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

- 4 n \cdot \frac{x ln ( x )}{1 - x}

y = 3 - I n (2 x + 7)

x^{\frac{2}{5}} (x - 10)

x^{3} + 3 x y^{2} - 15 x + y^{3} - 15 y

f (x, y) = x^{3} - 3 x y^{2} + 27 y^{2}