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Latihan Soal "Turunan Fungsi Aljabar"

Authored by Ibu Sulistyana

Mathematics

11th Grade

Used 109+ times

Latihan Soal "Turunan Fungsi Aljabar"
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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui f(x)=5x3−6x2+x−9f\left(x\right)=5x^3-6x^2+x-9 . Turunan pertama fungsi  f(x)f\left(x\right)  adalah ... 

 f′(x)=5x2−6x+1f'\left(x\right)=5x^2-6x+1  

 f′(x)=5x2−6x+9f'\left(x\right)=5x^2-6x+9  

 f′(x)=5x2−12x+1f'\left(x\right)=5x^2-12x+1  

 f′(x)=15x2−12x+1f'\left(x\right)=15x^2-12x+1  

 f′(x)=15x2−12x+9f'\left(x\right)=15x^2-12x+9  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui

 f(x)=4x4−2x3+3x2−6f\left(x\right)=4x^4-2x^3+3x^2-6  dan  g(x)=x3+5x2+3x−1g\left(x\right)=x^3+5x^2+3x-1  . 

Jika  h(x)=f(x)−g(x)h\left(x\right)=f\left(x\right)-g\left(x\right)  , turunan pertama fungsi  h(x)h\left(x\right)  adalah ...

 h′(x)=16x3−6x2+6x−3h'\left(x\right)=16x^3-6x^2+6x-3  

 h′(x)=16x3−6x2−4x−3h'\left(x\right)=16x^3-6x^2-4x-3  

 h′(x)=16x3−9x2−4x−3h'\left(x\right)=16x^3-9x^2-4x-3  

 h′(x)=4x3−6x2−4x−3h'\left(x\right)=4x^3-6x^2-4x-3  

 h′(x)=4x3−9x2−4x−3h'\left(x\right)=4x^3-9x^2-4x-3  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Turunan pertama f(x)=(4x2−5)4f\left(x\right)=\left(4x^2-5\right)^4  adalah  f′(x)f'\left(x\right)  = ...


 16x(4x2−5)316x\left(4x^2-5\right)^3  

 32x(4x2−5)332x\left(4x^2-5\right)^3  

 48x(4x2−5)348x\left(4x^2-5\right)^3  

 32x(4x2−5)432x\left(4x^2-5\right)^4  

 16x(4x2−5)416x\left(4x^2-5\right)^4  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Turunan pertama fungsi f(x)=(−3x+8)−5f\left(x\right)=\left(-3x+8\right)^{-5} adalah ... 


 f′(x)=−15(−3x+8)−4f'\left(x\right)=-15\left(-3x+8\right)^{-4}  

 f′(x)=−15(−3x+8)−5f'\left(x\right)=-15\left(-3x+8\right)^{-5}  

 f′(x)=−15(−3x+8)−6f'\left(x\right)=-15\left(-3x+8\right)^{-6}  

 f′(x)=15(−3x+8)−4f'\left(x\right)=15\left(-3x+8\right)^{-4}  

 f′(x)=15(−3x+8)−6f'\left(x\right)=15\left(-3x+8\right)^{-6}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui fungsi g(x)=2−3xx+5g\left(x\right)=\frac{2-3x}{x+5} . Jika turunan pertama fungsi  gg  adalah  g′(x)g'\left(x\right)  ,  g′(x)= ...g'\left(x\right)=\ ...   


 −17x2+5x+25\frac{-17}{x^2+5x+25}  

 −17x2+10x+25\frac{-17}{x^2+10x+25}  

 −6x−17x2+10x+25\frac{-6x-17}{x^2+10x+25}  

 6x−17x2+5x+25\frac{6x-17}{x^2+5x+25}  

 6x−17x2+10x+25\frac{6x-17}{x^2+10x+25}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui f(x)=x−43x+2f\left(x\right)=\frac{x-4}{3x+2}  dan  f′(x)f'\left(x\right)  turunan pertama  f(x)f\left(x\right)  . 

Nilai  f′(−1)=...f'\left(-1\right)=...  


14

10

8

-10

-14

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui fungsi h(x)=ax2−5x+9h\left(x\right)=ax^2-5x+9  . 

Jika  h′(−2)=19h'\left(-2\right)=19  , nilai  a=...a=...  


-6

-4

2

4

6

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