derivation

Derivation in mathematics refers to finding the rate at which a quantity changes at a specific moment. It provides a way to determine how a function's output varies when its input is slightly altered. Think of it like measuring the speed of a car at a particular instant based on its distance traveled over time. This process helps in understanding and predicting behaviors in fields like physics, engineering, and economics, where change and motion are important. The derivative, the result of the derivation, is a new function that gives these rates of change across different points.