Question

若曲线f(x)=x⁴-x在点P处的切线平行于直线3x-y=0,则P的坐标是(　　)

A.(1,3)                         B.(-1,3)

C.(1,0)                         D.(-1,0)

Answer 1

解析:f′(x)=4x³-1,设P(x₀,y₀),则4x₀³-1=3,得x₀=1，f(x₀)=x₀⁴-x₀=0,即P点坐标为（1，0）.

答案:C