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##### Derivatives of Logarithmic Functions

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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