Students engage with a variety of questions that explore the concept of differentiation and its practical applications. They solve problems related to finding derivatives of functions and apply these derivatives to real-world situations like calculating rates of change, optimising processes, and modeling physical phenomena. This series of questions enhances their understanding of how calculus is used to solve complex problems in engineering, physics, and economics.

This set of questions explores the key concepts of limits and continuity, which are essential in calculus. Students study how functions behave as variables near specific values and understand the importance of continuous functions in mathematical modeling. Through these exercises, they build a solid foundation in these concepts, equipping them for more advanced coursework in mathematical analysis and related fields.

Students tackle questions on integration and its various applications across different contexts. They learn to calculate integrals and apply integral calculus to determine areas under curves, volumes of solids of revolution, and accumulate quantities such as mass and charge. These exercises demonstrate the power and versatility of integration in solving practical problems in science, engineering, and statistics.