1. Small World, Isn’t It? Charlotte, Samantha, Alyssa, and Amelie

2. Linear Stuff General form: Rate of change is “a”

3. Average vs. Instantaneous Instantaneous rate of change = derivative Secant lineTangent line

4. Derivative Approximate derivative calculation Calculating derivative The derivative of the function f(x) at a point (a, f(a)) is equal to the instantaneous rate of change of f(x) at x = a.

5. Exponents General form: Rules of Exponents -

6. Proportionality Constant General form: The derivative of an exponential function can be expressed by the proportionality constant multiplied by the function itself.

7. e Equal to approximately 2.71828 is the function where the proportionality constant is equal to 1

8. Logarithms Logarithms always involve non-negative bases

9. Change of Base Take the logarithm of both sides Divide both sides by log7

10. The End!