與直線y=4x-1平行的曲線y=x3+x-2的切線方程是() A. 4x-y=0B. 4x-y-4=0C. 4x-y-2=0D. 4x-y=0或4x-y-4=0

與直線y=4x-1平行的曲線y=x3+x-2的切線方程是() A. 4x-y=0B. 4x-y-4=0C. 4x-y-2=0D. 4x-y=0或4x-y-4=0

曲線y=x3+x-2求導可得y′=3x2+1設切點為(a,b)則3a2+1=4,解得a=1或a=-1切點為(1,0)或(-1,-4)與直線4x-y-1=0平行且與曲線y=x3+x-2相切的直線方程是:4x-y-4=0和4x-y=0故選D.