设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))

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设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x

设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))
设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))

设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))
dy f'(arcsin(1/x))
— = - ———————
dx x√(x^2-1)

dy/dx=f'(arcsin(1/x))*(1/(1-(1/x^2)))*(-1/x^2)