曲线y=x分之lnx在x=1处的切线方程为?
人气:318 ℃ 时间:2019-12-17 11:12:52
解答
y=lnx / x
先求导:
y'=(1-lnx) / x^2
因此,
斜率k=y'(1)=1
又有,当x=1时,y=0,即过(1,0)
故,切线方程:
y-0=1*(x-1)
即,y=x-1
因此,y=x-1为y=lnx/x在x=1处的切线
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