习题 13.4

1.求下列隐函数的导数:

(1)y3-3y+4x=0;  (2)x2+y2+xy=1;

(3)y=1+xey;  (4)y=x+ln y;

(7)yex+ln y=1;  (8)ex+y=xy;

(9)sin(xy)=x+y; (10)xsin x=cos(x+y)

2.求下列隐函数在指定点的导数:

(1)y3+y2=2x在点(1,1);  (2)ey-ysin x=e在点(0,1).