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A function is given in the appendix f : R3 - R2 f(x, y, =) = (X (xy2 + = ) -(8). and It is asked whether the equation S (2, y, 2) = (0, 0) in the Point (TO, yo, 20) = (2, 4, 2) noted in the appendix can be solved locally unambiguously according to a) (x) = (y(x), z(2) ) , b) " (y ) = (x(y), =(1) ), c) 0 (2) = (x(2), (2)) Specify the derivations $'(xo), '(yo) and e' (20) if the prerequisites for the record are fulfilled in each case using implicit functions