ln(x-y)二次导数怎么求

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ln(x-y)二次导数怎么求

ln(x-y)二次导数怎么求
ln(x-y)二次导数怎么求

ln(x-y)二次导数怎么求
y=ln(x-y)
y'=(1-y')/(x-y)
y'=1/(x-y+1)
y''=-(1-y')/(x-y+1)^2
=(y-x)/(x-y+1)^2.

43251591256473600/(1+x)^15*e^(2*x)+4752922116096000/(1+x)^13*e^(2*x)-1287249739776000/(1+x)^12*e^(2*x)+312060542976000/(1+x)^11*e^

[ln(x-y)]''
=[1/(x-y)*(1-y')]'
=[(1-y')/(x-y)]'
=[-y''(x-y)-(1-y')(1-y')]/(x-y)²