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?
Not what you're looking for? Search our solutions OR ask your own Custom question.
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?
© BrainMass Inc. brainmass.com December 15, 2022, 4:59 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/prove-basis-definition-function-56468
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
to prove that function f(x,y)=xy(x+y)
________________________________________
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.
$2.49