y=2xsin(2x+5)求导数y'=(2x)'sin(2x+5)+(2x)[sin(2x+5)]'=2sin(2x+5)+2xcos(2x+5)可答案是2sin(2x+5)+4xcos(2x+5)哪里错了

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y=2xsin(2x+5)求导数y'=(2x)'sin(2x+5)+(2x)[sin(2x+5)]'=2sin(2x+5)+2xcos(2x+5)可答案是2sin(2x+5)+4xcos(2x+5)哪里错了
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y=2xsin(2x+5)求导数y'=(2x)'sin(2x+5)+(2x)[sin(2x+5)]'=2sin(2x+5)+2xcos(2x+5)可答案是2sin(2x+5)+4xcos(2x+5)哪里错了
y=2xsin(2x+5)求导数
y'=(2x)'sin(2x+5)+(2x)[sin(2x+5)]'
=2sin(2x+5)+2xcos(2x+5)
可答案是2sin(2x+5)+4xcos(2x+5)
哪里错了

y=2xsin(2x+5)求导数y'=(2x)'sin(2x+5)+(2x)[sin(2x+5)]'=2sin(2x+5)+2xcos(2x+5)可答案是2sin(2x+5)+4xcos(2x+5)哪里错了
解析
y'=(2x')sin(2x+5)+2xsin(2x+5)'
=2sin(2x+5)+2x*2*cos(2x+5)
=2sin(2x+5)+4xcos(2x+5)
因为你没有对2x+5求导
它是复合的

6

复合函数求导,你sin里面是2x忘乘2了

Sin(2x 5)求导时要再求(2X 5)的导函数与COS()相乘