differentiation of functions

Differentiation of functions measures how a function's output changes when its input changes slightly. It calculates the rate or speed of change at any given point, much like how speed indicates how fast a car is going at a specific moment. Mathematically, it involves finding the derivative, which represents this instantaneous rate of change. Differentiation helps us understand and predict behavior in various contexts, such as physics, economics, and biology, by revealing how small adjustments in one variable affect another.