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Example: Find the curl of the following vector function:
2 "I T
(\' = X yi + x~yj + y^zky
Command: CURL ( [X"2*Y, X''2*Y, Y^2*z] , [X, Y, z] )
Result: [2 *X*Y, , Y^2 ]
See Also:
DIV
HESS
DERIV
Type: Function
Description: Returns the partial derivatives of a fimction, with
respect to the specified variables.
Access: Calculus, 0{® DERIV. & INTEG
Input: Level 2/Ai'gument 1: A fimction or a list of fimctions.
Level 1/Argument 2: A variable, or a vector of variables.
Output:
The derivative, or a vector of the derivatives, of the
fimction or functions.
Flags:
Exact mode must be set (flag -105 clear).
Nmneric mode must not be set (flag -03 clear).
Example: Find the gradient of the following fimction of the spatial
variables x, y, and z:
~>
2x"y + 3y z + zx
Command:
DERIV(2*X''2*Y+3*Y^2*Z + Z*X, [X,Y,Z] )
EXPAND(ANS(1))
Result:
[4*Y*X+Z, 2*X^2 + 6*Z*Y,X+3*Y-^2]
See also: DERVX
DERVX
Type:
Function
Description: Returns the derivative of a fimction with respect to the
current variable.
Access:
Calculus, 0(0c)DERIV. & INTEG.
Input:
The fimction or list of functions to be differentiated.
Page 14-12
Computer Algebra Commands