y=x[sin(Inx)-cos(Inx)]导数?
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y=x[sin(Inx)-cos(Inx)]导数?
![y=x[sin(Inx)-cos(Inx)]导数?](/uploads/image/z/17912326-22-6.jpg?t=y%3Dx%5Bsin%28Inx%29-cos%28Inx%29%5D%E5%AF%BC%E6%95%B0%3F)
y'=1*[sin(Inx)-cos(Inx)]+x*[cos(lnx)*1/x+sin(lnx)*1/x]
=sin(Inx)-cos(Inx)+cos(lnx)+sin(lnx)
=2sin(Inx)
=sin(Inx)-cos(Inx)+cos(lnx)+sin(lnx)
=2sin(Inx)