Derivative using chain rule inside product rule

The video tutorial explains how to apply the product rule and chain rule in calculus to find derivatives. It begins with an introduction to the product rule, followed by a detailed explanation of the chain rule. The instructor then demonstrates solving a complex derivative problem step-by-step, including simplifying the expression and factoring. The tutorial emphasizes understanding the process and applying these rules to different functions.

What is the product rule in calculus?

Explain how to find the derivative of secant of a function using the chain rule.

What steps are involved in finding the derivative of secant of (X^2 + X + 1)?

How do you apply the product rule to the functions secant of (X^2 + X + 1) and X?

What is the significance of factoring out common terms when finding derivatives?