Question: Explain why the function is differentiable at the given point.f(x, y)=4+ x ln(xy 5),(2,3)The partial derivatives arefx(x, y)=ln(xy5)+xyxy5and fy(x, y)=x2xy5,sofx(2,3)=andfy(2,3)=.Both fx and fyare continuous functions

Explain why the function is differentiable at the given point.f(x, y)=4+ x ln(xy 5),(2,3)The partial derivatives arefx(x, y)=ln(xy5)+xyxy5and fy(x, y)=x2xy5,sofx(2,3)=andfy(2,3)=.Both fx and fyare continuous functions forxy>andfis differentiable at(2,3).Find the linearization L(x, y) of f(x, y) at (2,3).L(x, y)=0

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