Question 1A: Find all critical points of the function ...

Show that the sum of the x, y, and z intercepts of the tangent plane S add up to a constant (to be clear, the x intercept is the value on the x axis where the plane hits the x axis.) At the input (x 0,y 0,z 0), the gradient of g(x,y,z)=xyz is So the tangent plane passing through (x 0,y 0,z 0) is ................
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