文档介绍:第二章末考复习题
一、选择题
=1处的导数为( )
(x)=os(x2),则f'(x)=( )
A. B. C. D.
(x)可导,又y=f(-x),则=( )
A. B. C.- D.-
(x)=2x,则f″(x)=( )
·ln22 ·ln4 ·2 ·4
(x)=ln4,则( )
B. D.
=x4+ln3,则=( )
B. D. x4lnx+
( )
A. B. C. D.-
=ln(2x+3),则=( )
A. B. C. D.
=arcsinx2,则dy=( )
A. B. C. D.
(x)在点x0的左导数及右导数都存在且相等是f(x)在点x0可导的( )
,则=( )
A.-1 B. C.
12、.若函数f(x)在点x0处可导且,则曲线y=f(x)在点(x0, f(x0))处的法线的斜率等于( )
A. B. C. D.
=ex上点(0,1)处的切线方程为( )
-1=ex·x =x-1 -1=-x =x+1
=arcsinx2,则dy=( )
A. B. C. D.
,则( )
B.
=cosx上点()处的法线的斜率是( )
A.- B. C.
(x)在点x0的左导数及右导数都存在且相等是f(x)在点x0可导的( )
(x)=cos2x,则( )
C.-1 D.-2
( )
B.-e2t -2t D.-e-2t
=ln cosx,则( )
B.-sec2x D.-csc2x
( )
D.
=x3在点(1,1)处的切线斜率为( )
23. 则( )
A. C.-1
,则=( )
=sin(x+2),则y′=( )
(x+2) x C.-cos(x+2) D.-cos x
=sin,则y′=___________
A. sin
二、填空题
(1,1)点处的切线方程为_____________________
(x)=,则(0)=___________.
(x)=sin x+e-x,则f"(x)=________.
30 .曲线y=x+ln x在点(1,1)处的切线方程为________________.
=ex在点(0,1)处的切线方程是_____。
32. 曲线y=2sin x+4x9在x=0处的切线方程是______.
34. 曲线y=x2-x在x=1 点处的切线方程是____________.
=cos +sin,则y′=______.
36. y=x3cos x,则y′= ______.
=x2-5x+6,则y″=___________.
三、计算题
,求y′.
=arctan x+3sin 2x,求y′.
=.
= x arctan ex,求y′.
,求
,则=______.
=______.
=y(x)由方程ey+6xy+x2-1=0所确定,求.
=f (x)是由方程xy=1-ln y确定的函数,求y′.
48、.求由方程y=1+xey所确定的隐函数y=y(x)的导数.
.