# 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).

Â© BrainMass Inc. brainmass.com November 29, 2021, 11:59 pm ad1c9bdddfhttps://brainmass.com/math/vector-calculus/normal-gradient-vector-13786

#### Solution Preview

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 ...

#### 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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