| Author |
Comment/Response |
RAyRAy
|
 11/27/02 9:47pm
MathID: 6102-07465-41960
License: L2996-4944
I was trying to define a function where i find the partial derivative, but I don't know how to set it up. This is what i have so far:
Partial[x_, y_, z_] := {D[x, x], D[y, x], D[z, x]}
the x,y,z are parametrized and can be in terms for t for x,y,z or u for x and v for y and u and v for z.
I want to get the partial of x, y, z and return it to me as a vector {x,y,z}, and the partial in respect to whatever variable x will hold, not literally x. How would I get to this?
Thanks,
RAyRAy
PS this function is 1 of a series of steps.
What I am trying to do is:
Given:
x=u^2
y=v^2
z=u+2v
and a point (1,1,3) for example
I take the partial with respect to the parametric arguements u and v in this case.
Partial u = {x1,y1,z1} Cross Partial v={x2,y2,z2}
get the resulting vector = {x3,y3,z3}
then return the equation of the tangent plane at the given point:
x3(x-1) + y3(y-1) + z3(z-3)
if u work out the problem it is:
-2(x-1) -4(y-1) + 4(z-z)
is this to much for a function or should I make a program/package to use? What is the best choice and how? Thanks a lot.
RAyRAy
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