HP 48gII Graphing Calculator Instrukcja Użytkownika Pobierz pdf (Strona 462)

Multi-variate Calculus Applications

Multi-variate calculus refers to functions of two or more variables. In this

Chapter we discuss the basic concepts of multi-variate calculus including

partial derivatives and multiple integrals.

Multi-variate functions

A function of two or more variables can be defined in the calculator by using

the DEFINE function („à). To illustrate the concept of partial derivative,

we will define a couple of multi-variate functions, f(x,y) = x cos(y), and g(x,y,z)

sin(z), as follows:

We can evaluate the functions as we would evaluate any other calculator

function, e.g.,

Graphics of two-dimensional functions are possible using Fast3D, Wireframe,

Ps-Contour, Y-Slice, Gridmap, and Pr-Surface plots as described in Chapter

Partial derivatives

Consider the function of two variables z = f(x,y), the partial derivative of the

function with respect to x is defined by the limit

HP 48gII Graphing Calculator Instrukcja Użytkownika Strona 462