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Gradients and Directional Derivatives

tional derivative and gradient. • The maximal directional derivative of the scalar field f(x,y,z) is in the direction of the gradient vector ∇f. • If a surface is given by f(x,y,z) = c where c is a constant, then the normals to the surface are the vectors ±∇f. Example 4 Consider the surface xy3 = z+2. To find its unit normal

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