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Gradients and Directional Derivatives
sions. It has no y dependence and it is linear in x. Its gradient is given by ∇f = ∂ ∂x (3x+3)i+ ∂ ∂y (3x+3)j = 3i+0j . As would be expected the gradient has zero component in the y di-rection and its component in the x direction is constant (3).
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