Taking the derivative of two binomials using product and chain rule

The video tutorial covers the application of the product rule and chain rule in calculus. It begins by explaining the product rule, which involves taking the derivative of the first function and multiplying it by the second function, then adding the first function multiplied by the derivative of the second function. The tutorial then moves on to the chain rule, emphasizing the importance of visualizing parent and child functions. The instructor demonstrates how to find derivatives using these rules and simplifies complex expressions by factoring out common terms. The session concludes with a reminder that such complex problems are rare.

What is the product rule in calculus?

Explain how to apply the chain rule when taking derivatives.

What is the derivative of the function X^3?

Describe the process of simplifying a derivative that involves multiple products.

How do you factor out common terms when simplifying derivatives?