怎样证明乘法求导法则
来源：学生作业帮助网 编辑：六六作业网 时间：2024/05/10 01:57:42
怎样证明乘法求导法则怎样证明乘法求导法则怎样证明乘法求导法则(uv)''=lim[u(x+h)v(x+h)-uv]/h=lim[u(x+h)v(x+h)+u(x+h)v-u(x+h)v-uv]/h=li
怎样证明乘法求导法则
怎样证明乘法求导法则
怎样证明乘法求导法则
(uv)'=lim[u(x+h)v(x+h)-uv]/h
=lim[u(x+h)v(x+h)+u(x+h)v-u(x+h)v-uv]/h
=limu(x+h)[v(x+h)-v(x)]/h+limv(x)[u(x+h)-u(x)]/h
=u(x)v'(x)+u'(x)v(x)
=u'v+uv' h→0
用定义证明