Product Rule

Definition

The product rule is a formula used to find the derivative of the product of two functions. It states that the derivative of the product of two functions is equal to the derivative of the first function times the second function, plus the first function times the derivative of the second function.

Related terms

Chain Rule:

The chain rule is used to find derivatives when one function is nested inside another. It allows us to "unwind" layers of functions and find their individual derivatives.

Quotient Rule:

The quotient rule is used to find the derivative of a quotient or division between two functions. It helps us determine how changes in one function affect changes in another.

Derivative:

A derivative measures how a quantity changes as its input (usually time or position) changes. In calculus, it represents instantaneous rates of change and slopes of curves at specific points.