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# How do you prove on the basis of the definition, the function f defined by f(x,y)=xy(x+y) is differentiable at every point of its domain?

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My definition goes: If the function has its derivatives at point (a,b) then the function is differentible at (a,b)

How do you prove on the basis of the definition, the function f defined by f(x,y)=xy(x+y) is differentiable at every point of its domain?

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to prove that function f(x,y)=xy(x+y)
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i gave the difinition that a function f of two variables is differentiable at (a,b)
My definition goes: if the ...

#### Solution Summary

It is proven on the basis of the definition, the function f defined by f(x,y)=xy(x+y) is differentiable at every point of its domain.

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