Problem 2. (12 pt) Let 1 2 x} be implicitly given by 11:2 coat 2 ye2r + 25in :13. Find dy da: ' Problem 3. {36 pt) Let an: y.' z) = a: (lay)2 + z. a. Find the gradient of f. b. Find the directional derivative of f at (U, c, 0) in the direction of 11' = {1/21 l/V, 1/2). c. Find the maximal rate of change at ((1, c, U) and the direction in which it occurs