posted by Becky .
Find the derivative of m(x)=1/(x+1) by using the definition of the derivative.
we want the limit as h->0 of
= [1/(x+1+h) - 1/(x+1)]/h
= [(x+1) - (x+1+h)] / h(x+1)(x+1+h)
= h/h * -1/(x+1)(x+1+h)