Question: Explain why the function is differentiable at the given point.f(x,y)=8+xln(xy-9),(5,2)The partial derivatives are fx(x,y)=and fy(x,y)=,sofx(5,2)=1, and fy(5,2)=1. Both fx and fy are continuous functions for

Explain why the function is differentiable at the given point.f(x,y)=8+xln(xy-9),(5,2)The partial derivatives are fx(x,y)=and fy(x,y)=,sofx(5,2)=1, and fy(5,2)=1. Both fx and fy are continuous functions for xy>and fis differentiable at(5,2).Find the linearization L(x,y)off(x,y)at(5,2).L(x,y)=

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