If , then (you have to replace every x with x+h). Then...
Dividing by h and taking the limit as h goes to 0, you get .
We are just being introduced the the derivative concept and I was wondering if I understand this correctly.
We got the formula f(x) lim h->0 (f(x+h) - f(x)) / h
One example says: Find derivative for the function f(x)=x/(x-1)
Does this like correct:
1. (x/x-1+h) - (x/(x-1) / h
The x/x-1 - x/x-1 cancel out
Leaving you with H/H
so the derivative is 1??