Euler's Number, e, is one of the most prominent constants in mathematics and exponential functions are some of the most important in maths. In this video: we take a deep dive into what Euler's Number is, what exponential functions are and how to differentiate them and we take a look at the super important natural logarithm, ln(x). Website: http://mathacy.com/ Timestamps: 0:00 - Intro 0:27 - Compound interest 2:37 - Defining e (Euler's Number) 3:30 - Differentiating exponential functions 6:10 - Derivative of e^x 6:48 - The Natural Logarithm - ln(x) 8:22 - Derivative of ln(x)