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

The critical y=(sqrt(x))/(a+x^2) is x=0

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critical y=(sqrt(x))/(a+x^2)

critical points

y = \frac{x}{a + x ^{2}}

x = 0

Solution steps

\frac{x}{a + x ^{2}}

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{a}{3}, x = - \frac{a}{3}, x = - - a, x = - a, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{a + x ^{2}} : x \geq 0

\frac{x}{a + x ^{2}}

is not defined at

x = \frac{a}{3}, x = - \frac{a}{3}, x = - - a, x = - a

, therefore:

x = 0

What is the critical y=(sqrt(x))/(a+x^2) ?
The critical y=(sqrt(x))/(a+x^2) is x=0