e^x=cosy-xy^2,求dy/dx|x=0

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e^x=cosy-xy^2,求dy/dx|x=0
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e^x=cosy-xy^2,求dy/dx|x=0
e^x=cosy-xy^2,求dy/dx|x=0

e^x=cosy-xy^2,求dy/dx|x=0
这是隐含数求导,两边先对 x 求导,
e^x=-y'siny-(y^2+x2yy'),整理得
y'=-(y^2+e^x)/(siny+2xy),把 x=0 代入,得
y'|x=0=-(y^2+1)/siny ,是不是这样?