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Homework Statement
Let P represent a force and x, y, and z represent distances. Determine the dimensions for each of the quantities listed below.
I attached the problem I need help with. (it's a small picture)
So I'm a bit confused since the it involves both dx and dy.
The dimensions for P is (ML/T^2)
Where M=mass
L=length
T=time
Then I have to differentiate it twice but with two different variables. Since x and y refer to distances and the only distance found in that equation is L.
Would that mean the dimensions for dP/dx = M/T^2 ?
If so, would that mean the answer to the 2nd derivative still be the same answer since they're differentiating between different variables? (I'm not sure if I worded this right, but I remember from Calc III something similar)
On a side note. I took calculus quite a while ago so some of this I might have forgotten.
The picture I provided, that is not equivalent to (dP/dx)*(dP/dy) right?
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