设y=f(sinx)是可导函数,求y‘x3.设y=f(sinx)是可导函数,则yx'=[ ]A.f'(sinx);B.f'(sinx)cosx;C.f'(sinx)sinx;D.f'(cosx)cosx.
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![设y=f(sinx)是可导函数,求y‘x3.设y=f(sinx)是可导函数,则yx'=[ ]A.f'(sinx);B.f'(sinx)cosx;C.f'(sinx)sinx;D.f'(cosx)cosx.](/uploads/image/z/5912919-63-9.jpg?t=%E8%AE%BEy%3Df%28sinx%29%E6%98%AF%E5%8F%AF%E5%AF%BC%E5%87%BD%E6%95%B0%2C%E6%B1%82y%E2%80%98x3%EF%BC%8E%E8%AE%BEy%3Df%28sinx%29%E6%98%AF%E5%8F%AF%E5%AF%BC%E5%87%BD%E6%95%B0%2C%E5%88%99yx%27%3D%5B+%5DA%EF%BC%8Ef%27%28sinx%29%EF%BC%9BB%EF%BC%8Ef%27%28sinx%29cosx%EF%BC%9BC%EF%BC%8Ef%27%28sinx%29sinx%EF%BC%9BD%EF%BC%8Ef%27%28cosx%29cosx%EF%BC%8E)
设y=f(sinx)是可导函数,求y‘x3.设y=f(sinx)是可导函数,则yx'=[ ]A.f'(sinx);B.f'(sinx)cosx;C.f'(sinx)sinx;D.f'(cosx)cosx.
设y=f(sinx)是可导函数,求y‘x
3.设y=f(sinx)是可导函数,则yx'=
[ ]
A.f'(sinx);
B.f'(sinx)cosx;
C.f'(sinx)sinx;
D.f'(cosx)cosx.
设y=f(sinx)是可导函数,求y‘x3.设y=f(sinx)是可导函数,则yx'=[ ]A.f'(sinx);B.f'(sinx)cosx;C.f'(sinx)sinx;D.f'(cosx)cosx.
这是复合函数
即u=sinx
y=f(u)
所以y'(x)=f'(u)*u'=f'(sinx)*cosx
选B
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设y=f(sinx)是可导函数,求y‘x3.设y=f(sinx)是可导函数,则yx'=[ ]A.f'(sinx);B.f'(sinx)cosx;C.f'(sinx)sinx;D.f'(cosx)cosx.
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