ABSTRACT
Some practical rates of change problems are initially explained, followed by some practical velocity and acceleration problems. Determining maximum and minimum points and points of inflexion on curves, together with some practical maximum and minimum problems follow. Tangents and normal’s to curves and errors and approximations complete this initial look at some applications of differentiation. In general, with these applications, the differentiation tends to be straightforward. The chapter describes rates of change using differentiation solve velocity and acceleration problems and understand turning points. It also describes the turning points on a curve and their nature solves practical problems involving maximum and minimum values. The chapter explains inflexion, tangents and normal to a curve.
