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please help me to solve this question correctly in an...

Question: please help me to solve this question correctly in an...

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Please help me to solve this question correctly, in an organized way, so that I understand and be able to do this type of problem myself too.

(b) (12 points) Find the directional derivative of f(x, y,z)-xy+e+In(xz) at the point P(,0, 3) in the direction of the vector u i-2j Also, find the unit vector in the direction in which f(z, y,z) increases most rapidly at P and find the derivative of f(x, y) in this direction.

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