How do I evaluate (d^2)/(dxdy)?
Is it just d/dx*d/dy?
quick answer: yup!
(and it's also ∂/∂y*∂/∂x)
Hmmm, double check my work because I must be doing something wrong!
I'm looking to evaluate -(d^2)/(dxdy) of F, where F = ax^2+bxy+cy^2
So for dF/dx, I get 2ax+by. For dF/dy, I get bx+2cy.
So, multiplying both together and accounting for the negative sign:
The answer is supposed to be -b according to the solution manual (that doesn't show the solution :p)
Am I missing something here? Thanks!
Do not multiply, but apply each differential sequentially. So after finding the first differential, do the second on the resulting expression. Order is not critical.
i assumed you meant ∂/∂x of ∂/∂y …
you ∂/∂y it first, then you ∂/∂x it …
Oh! I got it now! Thanks fellas!
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