Derivatives Using Power (Exponent) Rule

The video tutorial introduces the power rule, a method for differentiating polynomials. It explains what polynomials are, provides examples of polynomials and non-polynomials, and demonstrates how to apply the power rule to differentiate functions. The tutorial also includes computational steps for finding derivatives using the power rule.

Can you differentiate a polynomial that is multiplied by a non-polynomial function? Why or why not?

What happens to the exponent when you differentiate a polynomial using the power rule?

Provide an example of a polynomial function and demonstrate how to differentiate it using the power rule.