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Question


If u=loga(x3+y3+z3),
then xux+yuy+zuz=?

A
3logae
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B
2logae
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C
logae
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D
4logae
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Solution

The correct option is A 3logae

dydx=3x2x3+y3+z3(1logea)
xdydx=3x3x3+y3+z3logae
ydudx=3y3logaex3+y3+z3
zdudz=3z3logaex3+y3+z3
xdudx=3logae


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