1个回答
展开全部
y= √x.[sin(2x+1)]^2
y'
= √x. d/dx [sin(2x+1)]^2 + [sin(2x+1)]^2 .d/dx {√x}
=√x. [2sin(2x+1)] .d/dx {sin(2x+1)} + [sin(2x+1)]^2/[ 2√x]
=√x. [2sin(2x+1)] .[2cos(2x+1)] + [sin(2x+1)]^2/[ 2√x]
=4√x.sin(2x+1) .cos(2x+1) + { [sin(2x+1)]^2/[ 2√x] }
y'
= √x. d/dx [sin(2x+1)]^2 + [sin(2x+1)]^2 .d/dx {√x}
=√x. [2sin(2x+1)] .d/dx {sin(2x+1)} + [sin(2x+1)]^2/[ 2√x]
=√x. [2sin(2x+1)] .[2cos(2x+1)] + [sin(2x+1)]^2/[ 2√x]
=4√x.sin(2x+1) .cos(2x+1) + { [sin(2x+1)]^2/[ 2√x] }
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询