Example Gradient of a Scalar

Determine the gradient of $ = x2yz + 4xz2 at point (1, —2, —1) along the direction 2i — j — 2k. Solution:

V, = V(x2yz + 4xz2) = (2xyz + 4z2 )i+ (x2 zj + (x2 y + 8xz)k (3.24-a)

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