Section 3.9 Derivatives of Exponential and Logarithmic Functions

Text for Section 3.9 Derivatives of Exponential and Logarithmic Functions

Learning Objectives

• Find the derivative of exponential functions.
• Find the derivative of logarithmic functions.
• Use logarithmic differentiation to determine the derivative of a function.

• Derivatives of Exponential Functions with Base e
• Ex: Derivatives Involving the Exponential Function with Base e
• Ex: Derivatives of Exponential Functions
• Ex: Derivatives of Exponential Functions With Chain Rule
• Ex: Derivatives of Exponential Functions with the Product Rule
• Ex: Derivatives Involving the Exponential Function with Base e and the Quotient Rule
• Ex: Derivatives of Exponential Functions with the Quotient Rule

• Derivative of the Logarithmic Function

• Logarithmic Differentiation
• Ex: Logarithmic Differentiation and Slope of a Tangent Line