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若方程cos(xy)-x^2·y=1 确定y是x的函数,求y''|(1,0)
人气:293 ℃ 时间:2020-04-07 20:39:20
解答
cos(xy)-x^2·y=1 两边对x求导
-sin(xy)*(y+xy')-2xy-x^2y'=0===>x=1,y=0,y'=0
-cos(xy)(y+xy')^2-(y'+y'+xy")-2y-2xy'-2xy'-x^2y"=0
===>x=1,y=0,y'=0,y"=0
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