What are the critical values of #f(x)= (x^2+2x+1)/(x+1)^2#?

1 Answer
Mar 5, 2017

I suppose that every real number except #-1# is a critical value for this function.

Explanation:

I take a critical value for function #f# to be a number in the domain of #f# at which the derivative is either #0# or fails to exist.

#f(x) = 1# for all #x != -1#, so #f'(x) = 0# for all #x != -1#.