求助这种题怎么导啊 求大神指点一下

e^(x+y) +cos(xy) =2
x=0
e^(y(0))+ 1=2
e^(y(0))=1
y(0)=0
(0,0)
e^(x+y) +cos(xy) =2
d/dx[e^(x+y) +cos(xy)] =0
e^(x+y).(1+y') -sin(xy) .(xy'+y) =0
(x,y)=(0,0)
1.(1+y'(0)) -0 .(0+0) =0
1+y'(0) =0
y'(0)=-1