Calculus - C. Applications of Calculus

In this chapter, the physical interpretation of derivatives is detailed. Historical inception of derivatives as a rate measurer and differential and approximation are described. Some elementary applications of calculus to dynamics are also discussed.

This chapter describes a tangent and normal. Equations of a tangent to a curve and a conic or a circle at a point on it are discussed here. We will also understand normal to a curve at a point and its equation here.

This chapter introduces students to maxima and minima. Here, they will discuss increasing and decreasing functions, and geometric interpretation. It also details the determination of maxima and minima, alongside the first and second derivative tests.

This chapter highlights area under a curve. Here, we will learn about vertical and horizontal shifts and reflecting on a graph. It also illustrates the area problem and area of a region between two curves.