第十七章多元函数微分学 第十七章多元函数微分学 §1可微性 1.求下列函数的偏导数: (1)z=x2y;(2)z=yosx;(3)z= (4)z= In(x2+y);(5)z=e; (6)z= arctan i (7)z=xyk(x);(8)u=y+- (9)u=(xy)2;(10)u=xy Ao (1)z2=2xy, zy=x(2),=-ysinz, zy =cosx (3)zx2= (x2+y2)3 (4)z2 (5) r+y (6) 1 (7) in(ry)+rt ein(ry)oos(ry)=[1+ mycos(xy)lye [1 t lycos(ry)]xe sin(ay) 1 x(ry)-,ux=(ry)ln (xy) (10)ur=yx,uy=xy x Inc,u2=yry.r Iny 设f(x,y) 求f2(x,1)