题目内容
函数y=xe1-cosx的导数为
- A.(1+xsinx)e1+cosx
- B.(1+xsinx)e1-cosx
- C.(1-xsinx)e1+cosx
- D.(1-xsinx)e1-cosx
B
y′=e1-cosx+x(e1-cosx)′ =e1-cosx+xe1-cosx(1-cosx)′ =e1-cosx+xe1-cosxsinx =(1+xsinx)e1-cosx.
y′=e1-cosx+x(e1-cosx)′ =e1-cosx+xe1-cosx(1-cosx)′ =e1-cosx+xe1-cosxsinx =(1+xsinx)e1-cosx.
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