How to take the derivative using limit notation of the derivative

The video tutorial explains the concept of derivatives, focusing on evaluating the derivative of a function at a specific point. It begins with a discussion on the definition of derivatives and how they differ from finding the derivative of a function. The instructor then demonstrates how to calculate the derivative of a function, specifically using the example of F(x) = X^(1/2). The tutorial concludes by evaluating the derivative at a given point, illustrating the process with the example of finding the derivative at x = 9, resulting in a value of 1/3.

Describe the steps taken to simplify the expression for F prime of X.

How do you evaluate the derivative at the point X = 9?