Let $$f(x) = \frac{1}{x + 2}$$ Use the limit definition of the derivative to find
(i) $f'( -5 ) =$
(ii) $f'( -4 ) =$
(iii) $f'( 0 ) =$
(iv) $f'( 2 ) =$

To avoid calculating four separate limits, I suggest that you evaluate the derivative at the point when $x = a$. Once you have the derivative, you can just plug in those four values for "a" to get the answers.