Derivative

1. Expresssions

1.1. Numerical

1.2. d/dx

1.3. f'(x)

2. Derivative Rules

2.1. Power Rule

2.2. Constant Rule

2.3. Sum/Difference Rule

3. Applications

3.1. Instantaneuos Velocity

3.2. Rate of Change

3.3. Economics

4. Algebraic Definition

4.1. Factoring

4.2. Constant Rational Exponents

4.3. Finding Holes/Asymtoes

5. Graphical Definition

5.1. Original Function / Derivative

5.2. Finding Limits

5.3. Finding Domain/Ranges

6. Notation

6.1. Lim Definition

6.2. Integers/Real #s

6.3. Proofs