2.5 Content: Application of the Chain Rule
In this video, we will apply the chain rule to show why the derivative of every exponential function has a proportionality constant of "ln a". In other words, if f(x) = a^x, then f'(x) = (ln a) * a^x. We will show this is true using the fact that the derivative of e^x is e^x and the chain rule. Previous video on slopes of exponentials. • 2.2 Context: Slopes of Exponential Functions Previous video on the chain rule. • 2.5 Context: Chain Rule

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2.6 Context: Slopes of Inverse Functions

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2.2 Context: Slopes of Exponential Functions

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1.2 Content: Finding a limit using algebra

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2.5 Context: Chain Rule

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2.1 Context: Justification for the Power Rule

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Finding Zeros using a TI-84 Graphing Calculator

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2.4 Context: Trigonometry Review

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1.5 Context: Interpreting the Derivative

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1.8 Context: Tangent Line Approximations

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2.6 Content: Derivative of arcsin x

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