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3.9 Derivatives of Exponential and Logarithmic Functions
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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 … and why The relationship between exponential and logarithmic functions provides a powerful differentiation tool called logarithmic differentiation.
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Derivative of e x
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Example Derivative of e x
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Derivative of a x
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Derivative of ln x
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Example Derivative of ln x
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Derivative of log a x
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Rule 10 Power Rule For Arbitrary Real Powers
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Example Power Rule For Arbitrary Real Powers
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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
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Quick Quiz Sections 3.7 – 3.9
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