G(A,B) = F(A + B, A - B)
Where f is a differentiable function of two variables, F = F(U, V)
Show that:
dG dG
dA dB
Is equal to
dF dF Minus dF dF
dU dU _____ dV dV
It's difficult to write fractions. Basically, I need help showing that the second derivative of G, with respect to A and B, is equal to the derivative of F with respect to U squared minus the derivative of F with respect to V squared.
This one is killing me, I can't sleep right anymore!
2007-05-10
10:50:31
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1 answers
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asked by
Anonymous
in
Mathematics