derivatives

Derivatives are a fundamental concept in calculus that measure how a quantity changes in relation to another. Think of it as a way to understand rates of change: for example, the derivative of a car's position over time tells you its speed. In essence, it provides information about how one variable affects another, enabling calculations for curves and motion. Derivatives have practical applications in various fields, such as physics for understanding motion, economics for analyzing costs and revenues, and biology for studying rates of growth. They help us model and predict behaviors based on changes in underlying factors.