Derivatives of Exponential and Logarithmic Functions

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Presentation transcript:

Derivatives of Exponential and Logarithmic Functions Chapter 4 More Derivatives Section 4.4 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 Extending the Power Rule to arbitrary real powers 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 ax

Derivative of ln x

Example Derivative of ln x

Derivative of logax

Rule 10 Power Rule For Arbitrary Real Powers

Example Power Rule For Arbitrary Real Powers

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.

Example Logarithmic Differentiation

Quick Quiz Sections 4.3 – 4.4

Quick Quiz Sections 4.3 – 4.4

Quick Quiz Sections 4.3 – 4.4

Quick Quiz Sections 4.3 – 4.4

Quick Quiz Sections 4.3 – 4.4

Quick Quiz Sections 4.3 – 4.4

Chapter Test

Chapter Test

Chapter Test Solutions

Chapter Test Solutions

Chapter Test Solutions