How to take the derivative using the chain rule with sine

The video tutorial explains the concept of sine cubed notation and how it represents sine of X cubed. It introduces the chain rule in calculus, identifying inside and outside functions, and demonstrates how to apply derivatives using the chain rule. The tutorial concludes with simplifying the final expression to represent the derivative of the original equation.

What is the formula for the chain rule as mentioned in the text?

Describe the final expression for Y prime derived from the original equation.