Question

What are the critical values, if any, of `f(x)= (x+1)^2 /(-x^2 - x)`?

Answer 1

No critical values

Explanation:

Note that

`(x+1)^2/(-x^2-x)=(x+1)^2/(-x(x+1))=-(x+1)/x=-1-1/x`
for `xne -1`
so

`f'(x)=1/x^2ne 0`