ABSTRACT
This chapter discusses the applications of differentiation in science and engineering. In the study of gases the variation of pressure and volume can take place in two ways: isothermally and adiabatically. There are many examples in engineering and science where the maximum or minimum value of a parameter is required, e.g. the maximum stress in a beam, or the minimum amount of sheet metal to make a metal can. A simple cylinder in the form of a metal can is a good example of the use of the idea of turning points. For a given volume the metal can have an infinite number of dimensions. The chapter also discusses the application of partial differentiation to the estimation of error.
