What is e and ln(x)? (Euler’s Constant and The Natural Logarithm)

Euler’s constant, 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 constant is, what exponential functions are and how to differentiate them and we take a look at the super important natural logarithm, ln(x). Website: Timestamps: 0:00 - Intro 0:27 - Compound interest 2:37 - Defining e (Euler’s Constant) 3:30 - Differentiating exponential functions 6:10 - Derivative of e^x 6:48 - The Natural Logarithm - ln(x) 8:22 - Derivative of ln(x)