y=x^2sin2x,求y的50阶导数
问题描述：
y=x^2sin2x,求y的50阶导数
答
(uv)'=u'v+uv'(uv)''=((uv)')'=(u'v+uv')'= u''v+u'v'+u'v'+uv''=u''v+2u'v'+uv''(uv)'''=(u''v+2u'v'+uv'')'=(u'''v+u''v'')+(2u''v'+2u'v'')+(uv'''+u'v'')=u'''v+3u''v'+3u'v''+uv'''(uv)(n) = C(0,n)u(0)v(n)+C(...