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求隐函数的导数 sin(x+2y)=ln xy 答案要详细的,谢了
人气:304 ℃ 时间:2020-03-21 11:47:31
解答
两边对x求导得:
cos(x+2y)*(1+2y')=1/(xy)*(y+xy')
xycos(x+2y)+2xyy'cos(x+2y)=y+xy'
得:y'=[y-xycos(x+2y)]/[2xycos(x+2y)-x]
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