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Calculate the directional derivative of f(x,y,z)=x(y^2)+y((1-z)^(1/2)) at the point P(1,−2,0) in the direction of the vector v...

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Basic Math

Calculate the directional derivative off(x,y,z)=x(y^2)+y((1-z)^(1/2)) at the point P(1,−2,0) in thedirection of the vector v = 5i+2j−k. (a) Calculate the directionalderivative of f at the point P in the direction of v. (b) Find theunit vector that points in the same direction as the max rate ofchange for f at the point P.

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