设f(x)为可导函数,y=sin{f[sinf(x)]} dy/dx=

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设f(x)为可导函数,y=sin{f[sinf(x)]} dy/dx=
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设f(x)为可导函数,y=sin{f[sinf(x)]} dy/dx=
设f(x)为可导函数,y=sin{f[sinf(x)]} dy/dx=

设f(x)为可导函数,y=sin{f[sinf(x)]} dy/dx=
dy/dx=cos{f[sinf(x)]}*{f[sinf(x)]}'
=cos{f[sinf(x)]}*f‘[sinf(x)]*[sinf(x)]’
=cos{f[sinf(x)]}*f‘[sinf(x)]*cosf(x)*f'(x)