Implicit differentiation using the chain and product rule with cosine

The video tutorial explains the application of the chain rule in calculus, focusing on differentiating composite functions. It begins by identifying the outer and inner functions, using cosine and XY as examples. The tutorial then demonstrates how to find the derivative of the inner function XY with respect to X, incorporating implicit differentiation. Next, it covers the derivative of the outer function, cosine, and how to combine these derivatives using the chain rule. The tutorial concludes by emphasizing the importance of understanding both the chain rule and product rule in calculus.

What role does the derivative of Y play in the overall derivative calculation?

Describe the process of applying the chain rule in the given context.