设函数y=xsinx+2cosx
(π,-2)
y' = sinx + xcosx - 2sinx = xcos x-sinx y'' = cosx - xsinx - cosx =-xsinx 令y'' =0得x = 0或x =π 当 x >π时y'' >0;当x <π时,y'' < 0,故(π,-2)为拐点。