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Deriv, Dervx – HP 49g Graphing Calculator User Manual

Page 135

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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