2. (a) Find the maximum and minimum rates of change of f (x, y, z) = e*yz+1 at (0, -1,1). (b) Find the directions in which f(x,y,z) = exyz+1 is increasing and decreasing most rapidly at (0, –1,1) (c) Fill in the blanks. = exyz+1 has a maximum rate of change of. • f(x, y,z) direction of in the • f(x, y, z) direction of. exyz+1 has a minimum rate of change of in the (d) Find the unit vector in the direction of maximum increase of f (x, y, z) = exyz+1 at (0, –1,1). %3D

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