函数y=loga*x/x-1(a大于零,a不等于零)的导数为

问题描述:

函数y=loga*x/x-1(a大于零,a不等于零)的导数为

y=loga*x/x-1
y'=(logax)'/x+logax(1/x)'
=1/(xlna)/x+logax(-1/x^2)
=1/(x^2lna)-(logax)/x^2

求函数y=log‹a›[x/(x-1)](a>0,a≠1)的导数
dy/dx=[-1/(x-1)²]/{[x/(x-1)]lna}=-1/[(x-1)xlna]