Question

f(x)=x*e^1/(x-1)求导全过程

Answer 1

函数应该是

f(x) = x*e^[1/(x-1)],

求导,得

f(x) = x'*e^[1/(x-1)] + x*{e^[1/(x-1)]}'

= e^[1/(x-1)] + x*{e^[1/(x-1)]}*[1/(x-1)]'

= e^[1/(x-1)] + x*{e^[1/(x-1)]}*[-1/(x-1)^2]

= ……