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Published byBelinda Cannon Modified over 9 years ago
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3.9 Derivatives of Exponential and Logarithmic Functions
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Quick Review
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Quick Review Solutions
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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 Essential Question How do we use the relationship between exponential and logarithmic functions to provide a powerful differentiation tool called logarithmic differentiation?
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Derivative of e x Example Derivative of e x 1.
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Derivative of a x Example Derivative of a x
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Derivative of ln x Example Derivative of ln x 3.
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Derivative of log a x Example Derivative of log a x
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Rule 10 Power Rule For Arbitrary Real Powers Example Power Rule for Arbitrary 5.
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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.
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Example Logarithmic Differentiation 6.
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Pg. 178, 3.9 #1-47 odd
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