求y=2x*sin(2x+5)的导数

来源：百度知道编辑：UC知道时间：2024/06/15 18:55:08

求y=2x*sin(2x+5)的导数要有简单的步骤不过步骤越详细越好啊谢谢拉

y=2x*sin(2x+5)

y'=(2x)'*sin(2x+5)+2x*(sin(2x+5))'
=2sin(2x+5)+2x*cos(2x+5)*(2x+5)'
=2sin(2x+5)+2x*cos(2x+5)*2
=2sin(2x+5)+4xcos(2x+5)

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y=2x*sin(2x+5)
y`=2*sin(2x+5)+2x*cos(2x+5)*2
=2sin(2x+5)+4xcos(2x+5)

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