# Divergence; Curl; Reference - HP 48gII User Manual

Graphing calculator.

Alternatively, use function DERIV as follows:

## Divergence

The divergence of a vector function, F(x,y,z) = f(x,y,z)i +g(x,y,z)j +h(x,y,z)k,
is defined by taking a "dot-product" of the del operator with the function, i.e.,
.
=
divF
F
Function DIV can be used to calculate the divergence of a
vector field. For example, for F(X,Y,Z) = [XY,X
calculated, in ALG mode, as follows: DIV([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])

### Curl

The curl of a vector field F(x,y,z) = f(x,y,z)i+g(x,y,z)j+h(x,y,z)k,is defined by
a "cross-product" of the del operator with the vector field, i.e.,
=
×
curl
F
F
. The curl of vector field can be calculated with function CURL.
For example, for the function F(X,Y,Z) = [XY,X
calculated as follows: CURL([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])

### Reference

For additional information on vector analysis applications see Chapter 15 in
the calculator's user's guide.
2
2
2
+Y
+Z
,YZ], the divergence is
2
2
2
+Y
+Z
,YZ], the curl is
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