How to use implicit differentiation with the square root for chain and product rule

The video tutorial explains the chain rule in calculus, starting with an introduction to the concept. It defines variables and derivatives, and demonstrates how to apply the chain rule through examples. The tutorial guides viewers through the process of calculating derivatives using the chain rule, and concludes with final steps and a summary of the key points.

What is the chain rule and how is it applied in finding derivatives?

Explain the process of finding du over DX when u is defined as XY.

What is the relationship between the product rule and the chain rule as discussed in the text?

How do you derive the expression 1 / 2 sqrt U times the derivative DUD over DX?

What steps are involved in plugging back XY into the derivative expression?