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Normal gradient vector

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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).

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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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