5.5 Bases Other than e and Applications (Part 2) Acadia National Park, Maine Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2008

Objectives Define exponential functions that have bases other than e. Differentiate and integrate exponential functions that have bases other than e. Use exponential functions to model compound interest and exponential growth.

OR

Theorem 5.15: A Limit Involving e

Summary of Compound Interest Formulas:

Example: A deposit of $2500 is made in an account that pays an annual interest rate of 5%. Find the balance in the account at the end of 5 years if the interest is compounded a) quarterly b) monthly and c) continuously.

Derivatives of variables to variable powers

Find the derivative of

Key Formulas

Homework 5.5 (page 368) #57-61 odd, 75– 83 odd, #89, 92, 95 p