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数学
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函数y=y(x)由方程y=1-xe^y所确定,求dy/dx︳x=0
人气:379 ℃ 时间:2019-08-20 19:14:19
解答
两边对x求导(注意这里的y是关于x的函数)得:
y'=-e^y-(xe^y)*y';
整理得:
y'=-e^y/(1+xe^y)
由原式子可知,x=0时,y=1,带入上式得,y‘=-e.
-e即为答案.
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