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Use the normal gradient vector to write an equation of the line (or plane) tangent to the given curve (or surface) at the given point

P: x^(1/3) + y^(1/3) + z^(1/3) = 1; P(1, -1, 1).

##### Solution Summary

This solution shows how to use the normal gradient vector to write an equation of the line (or plane) tangent to the given curve (or surface) at the given point.

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If F is differentiable at (x0,y0,z0) then an equation of the tangent plane to the surface F(x,y,z) = 0 at (x0,y0,z0) is given by ...

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