设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))

问题描述:

设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x))

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

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