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