Question: For f(x, y) = x^3 - x(y^2) + 2y at the point P(-1, 2), a) find the unit vector u in the direction of steepest

For f(x, y) = x^3 - x(y^2) + 2y at the point P(-1, 2), a) find the unit vector u in the direction of steepest ascent; b) find the unit vector u in the direction steepest descent; and c) find a unit vector u that points in the direction of no change in the function.

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