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

The critical (-x^2+1)/((x^2+1)^2) is x=-sqrt(3),x=0,x=sqrt(3)

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critical (-x^2+1)/((x^2+1)^2)

critical points

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

x = - 3, x = 0, x = 3

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 3, x = 0, x = 3

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = - 3, x = 0, x = 3

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

f (x) = \frac{( x ^{2} - 9 )}{x - 3}

\frac{( 9 + x )}{9 - x}

f (x) = x + 1

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

What is the critical (-x^2+1)/((x^2+1)^2) ?
The critical (-x^2+1)/((x^2+1)^2) is x=-sqrt(3),x=0,x=sqrt(3)