c) Given the scalar function p(x, y, z) = x²e - y³ + cos 2z. Find the directional derivative of p(x, y, z) at the point Q(1, 2, ³) i in the direction of a = 2 i-2j+ k. Hence, obtain the direction and the value of maximum change of p(x, y, z) at the point Q.

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