Rate of Change of a Function

The rate of change of a function is a fundamental concept in calculus, measuring how quickly the function's output value changes concerning its input. It captures the slope or steepness of the function at a particular point, providing valuable insights into its behavior. Calculated using derivatives, this rate illuminates dynamic aspects of functions, such as velocity, acceleration, or growth rates in various real-world scenarios. Understanding the rate of change is essential in fields like physics, economics, and engineering, where analyzing how quantities evolve over time is crucial for making informed decisions and predictions.