问题 填空题

函数y=x•e1-cosx的导数为______.

答案

y′=e1-cosx+x(e1-cosx)
=e1-cosx+xe1-cosx(1-cosx)
=e1-cosx+xe1-cosxsinx
=(1+xsinx)e1-cosx

故答案为(1+xsinx)e1-cosx

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