高中数学-基本初等函数的导数公式

高中数学-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3

2()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2．56x

例3．cos x

例4． sin x -

演练方阵

A 档（巩固专练） 1．1

3

23x -

2．32x --

3．1

4

4．1

5．ln33a ⋅

6．sin α-

7．ln 22x ⋅

8．x e

9．1

ln 3x ⋅

10．1

x

B 档（提升精练）[学|科|网]

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 3．1

4-

4．1

5．-1 6．ln 4

4 7．e 8． 1

10ln10⋅ 9．2

3 10．32y x =-