Why is the derivative of ex equal to ex

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 👉 (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 A-level lesson. For more math for fun videos like this, be sure to subscribe 👉 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) --------------------------------------------------------------------------------------------------- ***Thanks to ALL my lovely patrons for supporting my channel and believing in what I do*** AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano M