Problem 1 The function F(r, y, 2) = r* + 2: + e#+* + 2z In y = 0 defines an implicit function = f(x, y). (a) Compute VF. (b) Find partial derivatives and at (1, 1, -1). (c) Find the directional derivative of z = S(r, y) at (1, 1) in the direction ü = (*).

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