Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule

The video tutorial covers the basics of taking derivatives, starting with the power rule for polynomials. It introduces derivative notation and explains the constant multiple and sum rules. The product and quotient rules are also discussed, with examples provided to illustrate their application. The tutorial emphasizes the importance of understanding these rules for solving calculus problems.

What is the product rule and how is it applied?

Explain the quotient rule and its importance in differentiation.

What are the steps to find the derivative of a function that is a quotient?

Discuss how the power rule can be extended to negative or non-integer exponents.