(10) Given: f (x, y, z) = %3D 2y-z a) Find the gradient of f (x, y, z). b) Find the derivative of f (x, y, z) at the point (1,2,3) in the direction< 1,1,-1>. c) Find the directions in which the function increase and decrease most rapidly at (1,2,3). Then find the derivatives in these directions.

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