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数学求导函数
已知方程y=sin(x+y)确定了y是x的函数y=y(x),求d(y)
对y求导的y=cos(x+y)(1+y'),
人气:422 ℃ 时间:2020-05-24 23:54:59
解答
y=sin(x+y).两边对x求导得:
y’=cos(x+y)(1+y')
y'=cos(x+y)/(1-cos(x+y))
所以:dy=[cos(x+y)/(1-cos(x+y))]dxy'=cos(x+y)/(1-cos(x+y))这步怎么弄的从y’=cos(x+y)(1+y')解出y'能说详细点不怎么啦?解一次方程?y’=cos(x+y)(1+y')=cos(x+y)+y'cos(x+y)y'(1-cos(x+y))=cos(x+y)y'=cos(x+y)/(1-cos(x+y))
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