Question

,谢谢y=（2 ln x + x^2）/(3lnx + x^2)求导过程?

Answer 1

用对数求导法：对

y = (2 ln x + x^2)/(3lnx + x^2)

两边取对数,得

lny = ln(2 ln x + x^2) - ln(3lnx + x^2),

两边关于 x 求导数,得

y'/y = (2/x+2x)/(2 ln x + x^2) - (3/x+2x)/(3lnx + x^2),

因此,答案是

y' = y[(2/x+2x)/(2 ln x + x^2) - (3/x+2x)/(3lnx + x^2)],

整理化简就留给你了.