Second derivative of a rational expression

The video tutorial explains how to find the first and second derivatives of a function using the difference quotient and chain rule. It begins with an introduction to derivatives, followed by applying the difference quotient to find the first derivative. The expression is then simplified, and the process to find the second derivative is demonstrated using the chain rule. The tutorial emphasizes the importance of simplification and proper application of calculus rules.

What is the first derivative of the function X + 3 / X?

Explain the process of applying the difference quotient in finding derivatives.

How do you simplify the expression -1 - 3 / (X - 1)^2?

What is the chain rule and how is it applied in finding the second derivative?

What is the final expression for the second derivative of the function?