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设曲线f(x)=2ax3-a在点(1,a)处的切线与直线2x-y+1=0平行,则实数a的值为________.
已知曲线f(x)=xn+1(x∈N+)与直线x=1交于点P,若设曲线y=f(x)在点P处的切线与x轴交点的横坐标为xn,则log2 013x1+log2 013x2+…+log2 013x2 012的值为( )
(A)-log2 0132 012-2 (B)-1
(C)log2 0132 012-1 (D)1
设m∈R,已知函数f(x)=-x2-2mx2+(1-2m)x+3m-2,若曲线y=f(x)在x=0处的切线恒过定点P,则点P的坐标为________.
设f(x)是偶函数,若曲线y=f(x)在点(1,f(1))处的切线的斜率为1,则该曲线在点(-1,f(-1))处的切线的斜率为________.