Derivatives of Logarithmic Functions Objective: Obtain derivative formulas for logs.

Review Laws of Logs Algebraic Properties of Logarithms Product Property Quotient Property Power Property Change of base

Definitions to Remember

Example 1 Find dy/dx for each of the following:

Example 2 (Try) Find

Example 3 (try) Find

Example 4 Find

Example 4 Find We will use our rules of logs to make this a much easier problem.

Example 4 Now, we solve.

Logarithmic Differentiation This is another method that makes finding the derivative of complicated problems much easier. Find the derivative of

Logarithmic Differentiation Find the derivative of First, take the natural log of both sides and treat it like example 3.

Logarithmic Differentiation Find the derivative of First, take the natural log of both sides and treat it like example 3.

Logarithmic Differentiation Find the derivative of

Homework Pages 247-248 1-33 odd