Taking derivative by applying product rule of two polynomials

The video tutorial explains the product rule in calculus, demonstrating how to find the derivative of a product of two functions, f(x) and g(x). The instructor walks through the steps of applying the product rule, which involves taking the derivative of f(x) and multiplying it by g(x), then adding the derivative of g(x) multiplied by f(x). The tutorial also covers simplifying the resulting expression and briefly mentions the power rule, encouraging students to apply it without showing all steps.

What does g prime of x represent in the derivative calculation?

Describe the process of taking the derivative of a function multiplied by another function.