Find the plane tangent at the point (2,3,-1) to the surface defined implicitly by the equation...

 

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Find the plane tangent at the point (2,3,-1) to the surface defined implicitly by the equation In(xy + xz + yz) = 0 assuming z = f(x,y) is a differentiable function of x and y in some neighborhood of the point (2,3), and z = -1 when x = 2 and y = 3. Find the plane tangent at the point (2,3,-1) to the surface defined implicitly by the equation In(xy + xz + yz) = 0 assuming z = f(x,y) is a differentiable function of x and y in some neighborhood of the point (2,3), and z = -1 when x = 2 and y = 3.