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(Solved): Given \( f(x, y, z)=x y+y z+x z, P(1,2,3) \) 1. Find \( \nabla f \) II. Evaluate \( \nabla f \) at ...
Given \( f(x, y, z)=x y+y z+x z, P(1,2,3) \) 1. Find \( \nabla f \) II. Evaluate \( \nabla f \) at a point \( P \). III. Find the maximum rate of change of \( f \) at the point \( P \).