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y = x + ln y 求隐函数的一级和二级导数
人气:309 ℃ 时间:2019-10-10 01:48:18
解答
y = x + ln y两边求导:y'=1+y'/yy'(1-1/y)=1y'=y/(y-1)y‘’=[y'(y-1)-y*y']/(y-1)² =[y-y²/(y-1)](y-1)² =[y(y-1)-y²]/(y-1)³ =-y/(y-1)³
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