sinxcosx的导数是1/2cos2x还是cos2x

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sinxcosx的导数是1/2cos2x还是cos2x
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sinxcosx的导数是1/2cos2x还是cos2x
sinxcosx的导数是1/2cos2x还是cos2x

sinxcosx的导数是1/2cos2x还是cos2x
sinxcosx的导数是cos2x
分两种情况考虑:
Case 1 :y = sinxcosx 用积的求导法,得:
y'= cosxcosx - sinxsinx = cos2x
Case 2 :y = (1/2)sin2x 用复合函数求导法,得:
y'= (1/2)(cos2x)*2 = cos2x
结果一样,都是cos2x.

Cos2x
sinxcosx=0.5sin2x
其导数为0.5乘2乘cos2x=Cos2x