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Lesson 16: Derivatives of Exponential and Logarithmic Functions
The document discusses the derivatives of exponential and logarithmic functions, detailing how to calculate them for the natural exponential function and the natural logarithm. It explains concepts like exponential growth, logarithmic differentiation, and provides examples of finding derivatives for various functions. Key formulas and theorems related to these topics are also highlighted.
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Introduction to derivatives of exponential functions, proofs, growth rates, and examples for e^x.
Derivatives involving the natural exponential function e, its properties, and applications.
Finding derivatives of exponential functions with examples using the power rule for derivatives.
Overview of derivatives for natural logarithm functions, implicit differentiation, and key logarithmic facts.
Power rules for derivatives, behavior of logarithmic differentiation in contrast to polynomial derivatives.
Comparison of various methods (product, quotient, logarithmic) for finding derivatives in calculus.
Explanation of the power rule for differentiation and how it relates to arbitrary powers in calculus.
