3.9 Derivatives of Exponential and Logarithmic Functions

Slide 3- 2 Quick Review

Slide 3- 3 Quick Review

Slide 3- 4 Quick Review Solutions

Slide 3- 5 Quick Review Solutions

Slide 3- 6 What you’ll learn about Derivative of e x Derivative of a x Derivative of ln x Derivative of log a x Power Rule for Arbitrary Real Powers … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.

Slide 3- 7 Derivative of e x

Slide 3- 8 Example Derivative of e x

Slide 3- 9 Derivative of a x

Slide Derivative of ln x

Slide Example Derivative of ln x

Slide Derivative of log a x

Slide Rule 10 Power Rule For Arbitrary Real Powers

Slide Example Power Rule For Arbitrary Real Powers

Slide 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.

Slide Example Logarithmic Differentiation