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

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

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

critical points

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

x = - 1 - 2, x = 2 - 1

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1 - 2, x = 2 - 1

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = - 1 - 2, x = 2 - 1

f (x) = - x - 7

f (x) = (x - 2)^{2} + 1

3 sec (8 x - 32)

4 y = - 3 x + 7

\frac{x ^{2} - 4}{8 x ^{2}}

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