Related Rates

Definition

Related rates is a concept in calculus that deals with finding the rate at which one quantity changes with respect to another related quantity. It involves using derivatives to solve problems involving changing variables.

Related terms

Chain Rule:

The chain rule is a calculus rule used to find the derivative of composite functions. It allows us to calculate how changes in one variable affect another variable through an intermediate function.

Implicit Differentiation:

Implicit differentiation is a technique used to find derivatives when an equation cannot be easily solved for one variable. It involves treating one variable as a function of another and differentiating both sides of the equation.

Optimization:

Optimization involves finding the maximum or minimum value of a function within a given range. It often requires using calculus techniques such as finding critical points and applying optimization formulas.