一、选择题
1.(2013·阳江模拟)已知f(x)=xln x,若f′(x0)=2,则x0等于( )
(A)e2 (B)e (C) (D)ln 2
2.已知f1(x)=sin x+cos x,fn+1(x)是fn(x)的导函数,即f2(x)=f1′(x),f3(x)=f2′(x),…,fn+1(x)=fn′(x),n∈N*,则f2 012(x)=( )
(A)-sin x-cos x (B)sin x-cos x
(C)-sin x+cos x (D)sin x+cos x
3.若函数f(x)=excos x,则此函数图象在点(1,f(1))处的切线的倾斜角为( )
(A)0 (B)锐角 (C)直角 (D)钝角
4.(2013·青岛模拟)设函数f(x)=g(x)+x2,曲线y=g(x)在点(1,g(1))处的切线方程为y=2x+1,则曲线y=f(x)在点(1,f(1))处的切线的斜率为( )
(A)2 (B)- (C)4 (D)-