Learn how to take derivative using the quotient rule inside of the chain rule

The video tutorial explains the process of function composition, focusing on identifying inside and outside functions. It covers the application of the chain rule and the quotient rule to find derivatives, emphasizing the importance of simplification. The tutorial guides through calculating the derivative of a composed function, ensuring the correct application of mathematical rules to achieve a simplified final result.

How do you simplify the expression for H prime of X after applying the quotient rule?

What is the final simplified form of the derivative after applying the chain rule and multiplying the results?