Applied Calculus: UNIT II: Functions of Several Variables
Functions of Several Variables: Introduction
In the package on introductory differentiation, rates of change of functions were shown to be measured by the derivative.
UNIT ‒ II
FUNTIONS OF SEVERAL VARIABLES
INTRODUCTION
In the package on
introductory differentiation, rates of change of functions were shown to be
measured by the derivative. Many applications require functions with more than
one variable: the ideal gas law, for example, is
pV = kT
where p is the
pressure, V the volume, T the absolute temperature of the gas, and k is a constant. Rearranging this
equation as
P = kT / V
shows that p is a
function of T and V. If one of the variables, say T, is kept fixed and V
changes, then the derivative of p with respect to V measures the rate of change
of pressure with respect to volume. In this case, it is called the partial derivative of p with respect to
V and written as
∂p/ ∂V
Applied Calculus: UNIT II: Functions of Several Variables : Tag: Applied Calculus : - Functions of Several Variables: Introduction
Applied Calculus: UNIT II: Functions of Several Variables
Under Subject
Applied Calculus
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