Chain Rule

Definition

The chain rule is a formula used to find the derivative of a composition of two or more functions. It states that the derivative of a composite function is equal to the derivative of the outermost function times the derivative of the innermost function.

Related terms

Product Rule: The product rule allows us to find derivatives when two functions are multiplied together. It helps us determine how changes in one function affect changes in another.

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.