四.导数与计算1.下列求导运算正确的是()A.(x+)′=1+B.(log2x)′=C.(3x)′=3xlog3eD.(x2cosx)′=-2xsinx2.若f(x0)′=3,则lim等于()A.3B.6C.9D.123..若f(x)=2xf'(1)+x2,则f'(0)等于()A.2B.0C-2D-44.已知函数f(x)=+1,则lim的值为().A.-B.C.D.05.已知奇函数y=f(x)在区间(-∞,0]上的解析式为f(x)=x2+x,则切点横坐标为1的切线方程是().A.x+y+1=0B.x+y-1=0C.3x-y-1=0D.3x-y+1=06.曲线f(x)=x2(x-2)+1在点(1,f(1))处的切线方程为()A.x+2y-1=0B.2x+y-1=0C.x-y+1=0D.x+y-1=07.曲线y=x3+11在点P(1,12)处的切线与y轴交点的纵坐标是()A.-9B.-3C.9D.158.已知函数y=f(x)的图象在点(1,f(1))处的切线方程是x-2y+1=0,则f(1)+2f(1)′的值是().A.B.1C.D.29.设P为曲线C:y=x2+2x+3上的点,且曲线C在点P处切线倾斜角的取值范围为,则点P横坐标的取值范围为().A.B.[-1,0]C.[0,1]D.10.若f(x)=x2-2x-4lnx,则f(x)′>0的解集为()A.(0,+∞)B.(-1,0)∪(2,+∞)C.(2,+∞)D.(-1,0)11.已知函数f(x)的图象如图所示,f(x)′是f(x)的导函数,则下列数值排序正确的是()A.0