4. (i) Consider the function z = f (x,y) of two variable. The total differential of it (dz) is given by: dz = fx dx + fy dy. Prove that d²z = fxx dx² +2 fxy dx dy + fyy dy² fx = Əf/ Əx, fy = Əf/Əy, fxx = Ə²f/№x, £xy = Əf/ƏXƏy, £yy = Əf/2²y ] (ii) If z = x³ +5xy - y2 derive dz and the d²z

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