Use the quotient rule inside of the chain rule

The video tutorial covers the concepts of parent and child functions, focusing on the function FX = X^2 and the inside function G of X. The teacher explains how to find the derivatives of these functions, using the chain rule to simplify the process. Although the class ends before simplification is complete, the teacher highlights the use of distributive property and combining like terms to simplify expressions.

What challenges are associated with finding the derivative of the child function?

How would you simplify the expression mentioned towards the end of the text?