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Math Help - Tangent plane

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    Tangent plane

    Find the equation of the tangent plane at (3,4,1) to the surface x^2+y^2-xyz=13. View the surface as the graph of a function of two variables z=g(x,y).
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    Re: Tangent plane

    Quote Originally Posted by mgwalker View Post
    Find the equation of the tangent plane at (3,4,1) to the surface x^2+y^2-xyz=13. View the surface as the graph of a function of two variables z=g(x,y).
    I did not check to see if that point is on the surface.
    \Delta F(x,y,z)=<2x-yz,2y-xz,-xy>

    Now the tangent plane is:
    \Delta F(3,4,1)\cdot <x-3,y-4,z-1>=0
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