How find the first derivative using a chart

The video tutorial explains the application of the quotient rule in calculus. It begins by introducing the quotient rule and its relevance in solving expressions involving derivatives. The instructor demonstrates the process of applying the quotient rule to a specific problem, detailing each step and calculation. Finally, the tutorial covers how to simplify the resulting expression, emphasizing the importance of understanding the underlying mathematical principles.

What is the final result obtained after applying the quotient rule as described in the text?

How can the result be simplified according to the text?