Power Maths by Sidney Schuman
Believe it or not, A / B = n. Read this. to convince yourself. 
Go straight to the calculus power rules
using this worksheet
You won't need to know anything about rate of change, infinitesimals or the concept of the limit but you will need these graphs 
Click here to see sample calculations 

Disclaimer Power Maths is simply a precalculus taster, not a way to teach calculus 
Grateful thanks to David A Smith for his encouragement