Which rule describes finding the derivative of a product of two functions?

The correct answer is the Product Rule, which specifically addresses the process of finding the derivative of the product of two functions. When you have two functions, say ( f(x) ) and ( g(x) ), the Product Rule states that the derivative of their product is given by the formula:

[

(fg)' = f'g + fg'

]

This means you differentiate the first function and multiply it by the second function as it is, then add the product of the first function as it is and the derivative of the second function.

Using the Product Rule allows you to systematically differentiate products without having to expand them completely, which can be particularly useful for more complex functions or when working with large expressions.

The other rules listed—Quotient Rule, Chain Rule, and Sum Rule—serve different purposes. The Quotient Rule is used when dealing with the division of two functions, the Chain Rule applies when differentiating composite functions, and the Sum Rule is applied when finding the derivative of the sum of two or more functions. Each rule is vital in calculus, but only the Product Rule focuses on the specific task of differentiating the product of two functions.