The Exponential Function Rule (ExpR)



 

The Sine Function Rule (SinR) & Cosine Function Rule (CosR)



 

The Main Chain Rule (MCR)

This D-Rule, which combines MR and PowCR, is a rule involving the sum of terms each having the form some constant times a function raised to a power. Below is an example illustrating the use of MCR, ExpR, SinR, and CosR:

        D-Rule Diagram


           D-Operator Diagram


Motivation for the Exponential Function & the Exponential Rule (ExpR)














 

Motivation for the Sine & Cosine Functions and for SinR & CosR

Here are two exercises, similar to the above example for the exponential function, that should be fun and helpful.

DR Exercise 1.

DR Exercise 2.