高中数学 1.2.2基本初等函数的导数公式及导数的运算法则同步测试 新人教A版选修2-2-新人教A版

基本初等函数的导数公式
典题探究
例1、已知函数()6f x =，则'()f x =___________
例2、已知函数6()f x x =，则'()f x =___________
例3、已知函数()sin f x x =，则'()f x =___________
例4、已知函数()cos f x x =，则'()f x =___________
演练方阵
A 档（巩固专练）
1．已知函数32()f x x =
，则'()f x =___________
2．已知函数21()f x x
=，则'()f x =___________ 3．已知函数()f x x =，则'(4)f =___________
4．已知函数()f x x =，则'()f x =___________
5．已知函数()3x f x =，则'()f a =___________
6．已知函数()cos f x x =，则'()f α=___________
7．已知函数()2x f x =，则'()f x =___________
8．已知函数()x f x e =，则'()f x =___________
9．已知函数3()log f x x =，则'()f x =___________
10．已知函数()ln f x x =，则'()f x =___________
B 档（提升精练）
1．已知函数()8f x =，则'(8)f =___________
2．已知函数1()f x x =
，则'()f x =___________ 3．已知函数
()f x x =，则'()f x =___________ 4．已知函数
8()f x x =，则'(6)f =___________ 5．已知函数
()sin f x x =，则'()f α=___________ 6．已知函数()cos f x x =，则'()f α=___________
7．已知函数()2x f x =，则'(0)f =__________
8．已知函数()x f x e =，则'(1)f =___________
9．已知函数()lg f x x =，则'()f x =___________
10．已知函数()ln f x x =，则'()f e =___________
C 档（跨越导练）
1．已知函数2()f x x =，求()f x 在(1(1))f ,处切线方程的斜率为___________
2．已知函数()f x x =
，求()f x 在(4(4))f ,处切线方程的斜率为__________ 3．已知函数1()f x x
=，求()f x 在(2(2))f ,处切线方程的斜率为___________ 4．已知函数()sin f x x =，求()f x 在(0(0))f ,处切线方程的斜率为___________
5．已知函数()cos f x x =，求()f x 在(())22
f ππ
,处切线方程的斜率为___________ 6．已知函数2()2x f x =，求()f x 在(1(1))f --,处切线方程的斜率为___________
7．已知函数()x f x e =，求()f x 在(1(1))f ,处切线方程的斜率为___________
8．已知函数()lg f x x =，求()f x 在(10(10))f ,处切线方程的斜率为___________
9．已知函数()ln f x x =，求()f x 在(1.5(1.5))f ,处切线方程的斜率为___________
10．已知函数3()f x x =，求()f x 在(1(1))f ,处的切线方程为___________
基本初等函数的导数公式答案
典题探究
例1．0
例2．5
6x
例3．cos x
例4．sin x -
演练方阵
A 档（巩固专练） 1．1323x - 2．32x --
3．1
4
4．1
5．ln 33a ⋅6．sin α-
7．ln 22x ⋅
8．x e
9．1
ln 3x ⋅
10．1
x
B 档（提升精练） 1．0
2．21
x -
3．1
2
12x -
4．786⨯
5．cos α
6．sin α-
7．ln 2
8．e 9．1
ln10x ⋅
10．1
e
C 档（跨越导练） 1．2
2．1
4
3．14
- 4．1
5．-1 6．ln 44 7．e
8．110ln10
⋅ 9．23
10．32y x =-。