Please provide neat and clean solution

A function is given f : R3 + 12 f(z, y, 2 ) = (242+2) - (10) let the equation f (x, y, z) = (0, 0) in the Point (x0, yo, 20) = (3, 4, 2) . locally unique H a) p(x) = (y(x), z(x) ) , b) up (y ) = (x (y), z (4) ) , c) 0 (2) = (x(2), 4(2) ) Specify the derivations d'(ro), '(yo) O' (20) if the prerequisites for the record are fulfilled in each case using implicit functions