What is Calculus?
Calculus is the branch of mathematics that studies continuous change. It allows us to understand the behavior of functions and how they change over time, through the concepts of derivatives and integrals. 🌟
Limits: The Foundation
Limits describe the value that a function approaches as the input approaches some value. They are fundamental in defining both derivatives and integrals. 🚀
Derivatives: Measuring Change
Derivatives represent the rate of change of a quantity. They can model anything from the speed of a car to the rate of spread of a disease. âš¡
Integrals: Accumulating Quantities
Integrals allow us to calculate the total accumulation of quantities, such as areas under curves. They reverse the operation of differentiation. 🌊