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最佳答案：dcos(xy)=dx-sin(xy)d(xy)=dx-sin(xy)(ydx+xdy)=dx-ysin(xy)dx-xsin(xy)dy=dxdy=-[ysi
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最佳答案：方程两边同时求x对y的导：y+xdy/dx+1/x+2ydy/dx=0,dy/dx=-(y+1/x)/(x+2y),dy=-(y+1/x)dx/(x+2y)
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最佳答案：设y=f(x)是由方程e^x+y+xy^2=1确定,x=0代入,得1+y=1y=0两边同时对x求导,得e^x+y'+y²+2xyy'=0x=0,y=0同时代入,
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最佳答案：估计第一项为e^y.对x求导:(e^y)y' -y - xy' = 0(e^y - x)y' = ydy/dx = y/(e^y - x)
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最佳答案：e^x-y'e^y=cos(xy)y'y'=e^x/(cos(xy)+e^y)y'|x=0=1/(1+e^y)
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最佳答案：令x=0,代入方程e^y+xy=e得e^(y(0))+0×y(0)=e,化简为e^(y(0))=e所以y(0)=1因此y^n(0)=1
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最佳答案：答：e^x表示e的x次方请确认提问后追问,
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最佳答案：e^y-xy=ee^y·dy/dx-(y+x·dy/dx)=0e^y·dy/dx-y-x·dy/dx=0(e^y-x)·dy/dx=ydy/dx=y/(e^y-
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最佳答案：e^y-xy=ee^y·dy/dx-(y+x·dy/dx)=0e^y·dy/dx-y-x·dy/dx=0(e^y-x)·dy/dx=ydy/dx=y/(e^y-
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最佳答案：网上有很多高数课后习题答案,你可以下载一个参考~e^y-e^x=xy两边求导,得e^y*y'-e^x=y+xy'(e^y-x)y'=(e^x+y)所以y'=(e