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Worksheets

turunan fungsi

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Jika  f(x)=5f\left(x\right)=5f(x)=5  , maka ...

a)

 f′(x)=0f'\left(x\right)=0  

b)

 f′(x)=5f'\left(x\right)=5  

2.

Jika  f(x)=−5xf\left(x\right)=-5x , maka  f′(x)=...f'\left(x\right)=...  

a)

0

b)

5

c)

-5

3.

Turunan pertama  f\left(x\right)=x^{-2}  adalah ...

a)

 f′(x)=2x3f'\left(x\right)=2x^3  

b)

 f′(x)=−2x−1f'\left(x\right)=-2x^{-1}  

c)

 f′(x)=−2x−3f'\left(x\right)=-2x^{-3}  

d)

 f′(x)=2x−3f'\left(x\right)=2x^{-3}  

4.

Diketahui f(x)=3x4+5x2−1f\left(x\right)=3x^4+5x^2-1  Turunan pertama f(x) adalah ...

a)

 f′(x)=12x3+10xf'\left(x\right)=12x^3+10x  

b)

 f′(x)=12x3+7x−1f'\left(x\right)=12x^3+7x-1   

c)

 f′(x)=7x3+7xf'\left(x\right)=7x^3+7x  

d)

 f′(x)=12x3+10x−1f'\left(x\right)=12x^3+10x-1  

5.

Turunan pertama f(x)=2+3x−4x2f\left(x\right)=2+3x-4x^2  adalah ...

a)

 8x-3 

b)

  3-8x  

c)

 −3−8x-3-8x  

d)

 −8x−3-8x-3  

6.

Turunan pertama fungsi f(x)=23x3−72x2−4x+5f\left(x\right)=\frac{2}{3}x^3-\frac{7}{2}x^2-4x+5 adalah ...

a)

 f′(x)=2x2−7x−4f'\left(x\right)=2x^2-7x-4  

b)

 f′(x)=43x2−7x−4f'\left(x\right)=\frac{4}{3}x^2-7x-4  

c)

 f′(x)=23x2−72x−4f'\left(x\right)=\frac{2}{3}x^2-\frac{7}{2}x-4  

7.

Diketahui f(x)=4x3−3x2+2x−11f\left(x\right)=4x^3-3x^2+2x-11 , nilai  f′(1)=...f'\left(1\right)=...   

a)

6

b)

8

c)

-3

d)

-5

8.

Jika f(x)=4−x+2x2f\left(x\right)=4-x+2x^2 , maka  f′(2)=...f'\left(2\right)=...  

a)

8

b)

7

c)

6

d)

5

9.

Turunan kedua fungsi  f(x)=4x3−3x2+8x−5f\left(x\right)=4x^3-3x^2+8x-5  adalah ...

a)

 12x2−6x+812x^2-6x+8  

b)

 24x−624x-6  

c)

 12x2+6x+812x^2+6x+8  

d)

 24x+624x+6  

10.

Turunan pertama untuk fungsi f(x)=(2x+1)(x2+3x)f\left(x\right)=\left(2x+1\right)\left(x^2+3x\right) adalah ... 

a)

 f′(x)=6x2+14x+3f'\left(x\right)=6x^2+14x+3  

b)

 f′(x)=3x2+14x+3f'\left(x\right)=3x^2+14x+3  

c)

 f′(x)=6x2+9x+3f'\left(x\right)=6x^2+9x+3  

d)

 f′(x)=6x2+14x−3f'\left(x\right)=6x^2+14x-3  

e)

 f′(x)=6x2−14x+3f'\left(x\right)=6x^2-14x+3