What's the number e and why is the derivative of e^x = e^x? Take a course from Brilliant to learn more about calculus https://brilliant.org/blackpenredpen/ (20% off with this link)

In this video, we will learn the derivatives of exponential functions and we will see how we can define the number e. Calculus 1, AP calculus, calculus Alevel lesson.

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0:00 We will talk about why the derivative of e to the x is e to the x
0:30 Derivative of 2^x by the definition of derivative
3:43 Defining the number e
8:07 Differentiate b^x
9:52 Check out Brilliant
10:51 Bonus: derivative of ln(x)

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