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Student[VectorCalculus]

  

diff

  

compute the derivative of a Vector-valued function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

diff(f, v)

Parameters

f

-

Vector or algebraic expression

v

-

name or name, name, ...; specify the variables of differentiation

Description

• 

The diff(f, v) calling sequence is an extension of the top-level diff that performs coordinate-wise differentiation on Vectors (including vector fields), in the coordinate systems of the Student[VectorCalculus] package.  If f is not a Vector, the arguments are passed to the top-level diff command.

Examples

withStudent[VectorCalculus]:

ⅆⅆtt,t2,t3

ex+2tey+3t2ez

(1)

2tscosst,sinst

sinsttscosstex+cossttssinstey

(2)

SetCoordinatessphericalr,φ,θ

sphericalr,φ,θ

(3)

FVectorFieldar,0,0

F:=are_r

(4)

φF

arcosφcosθ2sinφ+arcosφsinθ2sinφarsinφcosφe_r+arcosφ2cosθ2+arcosφ2sinθ2+arsinφ2e_φ

(5)

aF

re_r

(6)

See Also

diff

Student[VectorCalculus]

Student[VectorCalculus][Curl]

Student[VectorCalculus][Divergence]

Student[VectorCalculus][int]

Student[VectorCalculus][Laplacian]

Student[VectorCalculus][limit]

Student[VectorCalculus][series]

Student[VectorCalculus][Vector]

Student[VectorCalculus][VectorField]

 


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