Let w = F(x, y, z) = -x² tan(yz) + e²+1 In(ry) and let P be the point (1, e, 0). (a) Find the rate of change of F at P in the direction of the vector (-2, 1, 2). (b) What is the maximum rate of change of f at P? dw (c) If x=8²-t, y = 8+2t² and z = sin(at), use the chain rule to find when (s, t) = (1, 0). Əs

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