Partial Differentiation VL 01
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if u = log(x^3+y^3+z^3-3xyz) then show that (del/delx + del/dely + del/delz)^2 u= -9/(x+y+z)^2
if r^2=x^2+y^2+z^2 and V=r^m then prove that Vxx+Vyy+Vzz=m(m+1)r^(m-2)
if u = x^2 arctan(y/x) - y^2 arctan(x/y) then show that uxy=uyx