The derivative is a concept that represents the rate of change or the slope of a function at a particular point. It is a fundamental concept in calculus and is used to analyze how a function changes with respect to its input as the input changes very slightly. This article covers the physical and geometric interpretation of the derivative, as well as some applications like finding maxima and minima in a function and the Newton-Raphson method.

An integral is a mathematical concept that represents the accumulation or summing up of quantities over a certain interval or region. In this article, we'll discuss the properties of the integral by looking at an example of antidifferentiation and some examples of evaluating definite integrals.