Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)

The video tutorial explains the process of deriving the derivative of the natural logarithm function, ln(x), using the basic definition of a derivative. It emphasizes the importance of understanding the fundamental principles of calculus, such as limits and logarithm laws, to prove that the derivative of ln(x) is 1/x. The tutorial also explores the connection to Euler's number, e, and discusses alternative methods like implicit differentiation, highlighting the benefits of using the basic definition for a deeper understanding.

How does the limit of a continuous function relate to the derivative of natural log of x?

What is the significance of the number e in the context of the derivative of natural log of x?

Summarize the final result of the derivative of natural log of x.