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.
函数y=x•e1-cosx的导数为______.
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.