1. Differentiation Rules
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 ...

2. The Derivative of a Linear Function
Find the derivative of

3. The Derivative of a Constant Function
Find the derivative of

4. The Derivative of a Power Function
Find the derivative of f(x) = x4

5. The Derivative of a Constant Times a Function
Find the derivative of f(x) = 2x4

6. The Derivative of a Sum of Functions

7. The Derivative of a Difference of Functions

8. Find the derivative of
g(x) = 1 x5 - 2x3 + 1 x2 - 7
2 2
1
2
h(x) = x3 + 2x-2 - x