Product, quotient, & chain rules

Covered basic differentiation? Great! Now let's take things to the next level. In this topic, you will learn general rules that tell us how to differentiate products of functions, quotients of functions, and composite functions. Anxious to find the derivative of eˣ⋅sin(x²)? You've come to the right place.
7 exercises available

The product rule says that the derivative of the product f(x)g(x) is f'(x)g(x)+f(x)g'(x). This helps us find the derivative of a function which is a product of two other, more basic, functions.

The quotient rule says that the derivative of the quotient f(x)/g(x) is [f'(x)g(x)-f(x)g'(x)]/g²(x). This helps us find the derivative of a function which is a quotient of two other, more basic, functions.

Review your understanding of the product, quotient, and chain rules with some challenge problems.