Originally Posted by
Jay23456 I've learned the short cut to obtain a derivate (nX^n-1) but some questions on exams ask to find the answer using the definition
Lim f(x+h)-f(x)
h->0 h
now I am terribly lost how to solve this is say f(x) = sqrt (x+2)
what I would think to do is rewrite it was
(x+2)^1/2 + h) - (x+2)^1/2
h
this is where I go astray...
I am totally baffled on what the next step would be...if it was x^2 I would simply factor it out and then divide by h but the 1/2 is totally making my thought process come to a dead halt. Please tell me if my approach is wrong or what the next step would be. Thanks