f(x)=ax^m(1-x)^n求导数

问题描述:

f(x)=ax^m(1-x)^n求导数

设 u=ax^m u'=amx^(m-1)
v=(1-x)^n v'=-n(1-x)^(n-1)
y'=u'v+uv'
=amx^(m-1)(1-x)^n-anx^m(1-x)^(n-1)