Description
This lesson explores the derivative rules for exponential and logarithmic functions. Students learn to find derivatives of these functions using The Product Rule, The Quotient Rule, and The Chain Rule. Also, students learn to use logarithmic differentiation to find complicated derivatives.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-The Natural Exponential Function
-Derivative of the Natural Exponential Function
-The Chain Rule with the Natural Exponential Function
-Derivative of the Natural Logarithmic Function
-The Chain Rule with the Natural Logarithmic Function
-Using the Laws of Logarithms
-Logarithmic Differentiation
-General Exponential Functions
-General Logarithmic Functions
-Differentiating General Exponential and Logarithmic Functions
In this product, you will find the following:
-Powerpoint Presentation (25 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)
This lesson is part of a larger unit on Techniques of Differentiation. The complete unit includes the following:
-The Product and Quotient Rules
-Derivatives of Trigonometric Functions
-Derivatives of Inverse Functions
-Derivatives of Exponential and Logarithmic Functions
AP Calculus: Derivative of Exponential and Logarithmic Functions Complete Lesson
Highlights
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Description
This lesson explores the derivative rules for exponential and logarithmic functions. Students learn to find derivatives of these functions using The Product Rule, The Quotient Rule, and The Chain Rule. Also, students learn to use logarithmic differentiation to find complicated derivatives.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-The Natural Exponential Function
-Derivative of the Natural Exponential Function
-The Chain Rule with the Natural Exponential Function
-Derivative of the Natural Logarithmic Function
-The Chain Rule with the Natural Logarithmic Function
-Using the Laws of Logarithms
-Logarithmic Differentiation
-General Exponential Functions
-General Logarithmic Functions
-Differentiating General Exponential and Logarithmic Functions
In this product, you will find the following:
-Powerpoint Presentation (25 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)
This lesson is part of a larger unit on Techniques of Differentiation. The complete unit includes the following:
-The Product and Quotient Rules
-Derivatives of Trigonometric Functions
-Derivatives of Inverse Functions
-Derivatives of Exponential and Logarithmic Functions






