How to take derivative of a rational function using quotient rule

The video tutorial covers the process of finding derivatives of functions F(x) and G(x), applying the quotient rule, and simplifying the resulting expression. The instructor explains each step, including identifying functions, calculating derivatives, and using the FOIL method for simplification. The final answer is presented, and the importance of understanding the formulas and simplification techniques is emphasized.

Describe the steps taken to simplify the expression after applying the product and quotient rules.

What is the final answer for Y prime as derived in the text?