for 1 If z = 2x² – 3y with u = x2 sin y and v = 2y cos x, determine expressions дz дz and ди ду" дx Әх ду ду 2 Ifu = х2

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for 1 If z = 2x² – 3y with u = x2 sin y and v = 2y cos x, determine expressions дz дz and ди ду" дx Әх ду ду 2 Ifu = х2 + e-3y and y = 2х + eBy, determine ди" ду' ди' (а) 2x+2y ay ги з Ifz=f(x, y) whеrе x = w and y = u? –v, show that дz дz дz dz +y ах ди ду Әz 1 дz дz b) 2 и- у ду и? + 2 ди ov 4 If y=f(x, y) and x =rcose and y =rsin e, show that ә?у ?у э?v 12V 1əy + + + Әx2 дугог? r аr r2 302 5 If z = cosh 2x sin 3y and u = et (1 + y2) and v= 2yes, determine дz дz expressions for and ди' ду' ди' ду? ду 6 If z=f(u, v) where u = {(x2 - y2) and v = xy, prove that #z #z (а?? az дz 2u +4y. Әx2 ду? ди2 дv2 +2 диду ди" 7 Locate the stationary points of the following functions. Determine the nature of the points and calculate the critical function values. (а) 2=y? +xy +х2 + 4у – 4х +5 (b) z=y+ +xy + 2х + Зу +6 (c) z= Зху – бу – 3х2 + бу + 6х +7. эх эх ду ду , аnd hеnсе find . . ди -Жа)