Question: Explain why the function is differentiable at the given point.f(x, y)= x3y2,(1,1)The partial derivatives arefx(x, y)=3x2y2andfy(x, y)=2x3y,sofx(1,1)=andfy(1,1)=.Bothfxandfyare continuous functions, so f is differentiable at(1,1).Find the

Explain why the function is differentiable at the given point.f(x, y)= x3y2,(1,1)The partial derivatives arefx(x, y)=3x2y2andfy(x, y)=2x3y,sofx(1,1)=andfy(1,1)=.Bothfxandfyare continuous functions, so f is differentiable at(1,1).Find the linearizationL(x, y)of the function at(1,1).L(x, y)=(1,1)

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