Introductory proofs of derivative rules.

1. Derivatives Rule! Even dogs can do it ...
NooNoo studying calculus

2. The Definition of a Derivative
Mathematics is the science of pattern ... let's look for some patterns ...
Let's use the definition to find some derivatives ...

3. The Derivative of a Linear Function
If then
Proof:

4. The Derivative of a Constant Function
If then
Proof:
Example: Find the derivative of