将1/x看做是v,将cos(1/x)看做是u:原式 = cos²v = u²根据分步求导:(u²) = 2u* u′= 2cosv * (cosv)′= 2cosv * (-sinv) * v′= -sin(2v) * v′= -sin(2/x) * (1/x)′= -sin(2/x) * (-1/x²)= sin(2/x) / x²