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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:.
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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
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