I'm having difficulties in figuring out what I'm doing wrong in this problem. I followed the equation that is given in the book for finding the equation of a tangent plane to a surface and it keeps telling me it's wrong. I've tried a few different responses but they don't either.
Thanks
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Well, that because you haven't quite followed the equation as in the book. For another approach, another way of writing the equation of the tangent plane is z=L(x,y), where L(x,y) is the linear approximation of f at the point (a,b) given by that nice formula in the lecture notes for last Monday (the 18th): z=L(x,y) = f(a,b) + (∂f/∂x)(a,b)(x-a) + (∂f/∂y)(a,b)(y-b). If you had given me your calculation I could have told you more, but in your calculation you've dropped some minus signs on (∂f/∂x) and/or (∂f/∂y) and, I'm not sure how, miscalculated the right side of the equation.
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