Derivatives of Exponential and Logarithmic Functions

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Presentation transcript:

Derivatives of Exponential and Logarithmic Functions Chapter 4 More Derivatives Derivatives of Exponential and Logarithmic Functions

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

What you’ll learn about Derivative of ex Derivative of ax Derivative of ln x Derivative of loga x Logarithmic differentiation … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.

Derivative of ex

Example Derivative of ex

Derivative of ln x

Example Derivative of ln x

YOU MUST KNOW ALL OF THESE RULES!!!

Derivative of logax Example Note: Log has an Understood base of 10

Example Logarithmic Differentiation

More example…

Derivative of ax

Logarithmic Differentiation Sometimes the properties of logarithms can be used to simplify the differentiation process, even if logarithms themselves must be introduced as a step in the process. The process of introducing logarithms before differentiating is called logarithmic differentiation.

Checkpoint

Checkpoint

Checkpoint

Checkpoint

Checkpoint

Checkpoint

Unit Review

Unit Review

Unit Review

Unit Review

Unit Review