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3.9

3.9. Derivatives of Exponential and Logarithmic Functions. Quick Review. Quick Review. Quick Review Solutions. Quick Review Solutions. 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

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3.9

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  1. 3.9 Derivatives of Exponential and Logarithmic Functions

  2. Quick Review

  3. Quick Review

  4. Quick Review Solutions

  5. Quick Review Solutions

  6. What you’ll learn about • Derivative of ex • Derivative of ax • Derivative of ln x • Derivative of logax • Power Rule for Arbitrary Real Powers … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.

  7. Derivative of ex

  8. Example Derivative of ex

  9. Derivative of ax

  10. Derivative of ln x

  11. Example Derivative of ln x

  12. Derivative of logax

  13. Rule 10 Power Rule For Arbitrary Real Powers

  14. Example Power Rule For Arbitrary Real Powers

  15. 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.

  16. Example Logarithmic Differentiation

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