the function in excersise 3 might have first partial dericatives fx(0,0) and fy(

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the function in excersise 3 might have first partial dericatives fx(0,0) and fy(0,0). Explain why the slopes along x=0 and y=0 could have limits as x and y approach 0. if differentibale is intended to describe functions with smooth graphs, explain why differentiability is not defined in terms of the existence of partial derivatives.

exercise 3: imagine a surface z=f(x,y) with a ridge of discontinuities along the line y=x. Explain in graphical terms why f(x,y) would not be differentiable at (0,0) or any other point on the line y=x

excersise three is provided to help answer the first question

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