Question: Explain why the function is differentiable at the given point.f(x, y)=6+ exycos(y),(,0)The partial derivatives arefx(x, y)= and fy(x, y)= ,so fx(,0)= and fy(,0)= . Both

Explain why the function is differentiable at the given point.f(x, y)=6+ exycos(y),(,0)The partial derivatives arefx(x, y)= and fy(x, y)= ,so fx(,0)= and fy(,0)= . Both fx and fy are continuous functions, so f is differentiable at (,0).Find the linearization L(x, y) of f(x, y) at (,0).L(x, y)=7

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