# Math 106 Chapter 4-5

**Nearly all these topics can also be found by searching at: https://www.khanacademy.org/math.

4.1 Exponential Functions

• What is the definition/form of an exponential function? What are the properties of an exponential function? What does the graph of an exponential function look like?
• How is an exponential equation solved?

4.2 The Exponential Function e^x

• What is the approximate value of e? What does the graph of e^x look like?
• What is the derivative of e^x?

4.3 Differentiation of Exponential Functions

• How is the derivative of e raised to a more complicated power found?
• Which function satisfies the differential equation y'=ky?

4.4 The Natural Logarithm Function

• How is the natural logarithm function related to the exponential function with base e?
• What are the two identities involving e and ln?
• What is the basic strategy for solving equations involving e and ln?

4.5 The Derivative of lnx

4.6 Properties of the Natural Logarithm Function

• What are the three properties of logarithms?

5.1 Exponential Growth and Decay

• What is the general formula for exponential growth and decay? What do all the variables and constants in the formula represent?

5.2 Compound Interest

• What is the formula for continuously compounded interest? What do all the variables and constants in the formula represent?