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.
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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 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 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.