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Tugas Turunan XII KKLP 2

Total questions: 10

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Turunan fungsi f(x)=2x+1x−4f\left(x\right)=\frac{2x+1}{x-4}  

a)

−7(x−4)2\frac{-7}{\left(x-4\right)^2}  

b)

7(x−4)2\frac{7}{\left(x-4\right)^2}  

c)

−9(x−4)2\frac{-9}{\left(x-4\right)^2}  

d)

9(x−4)2\frac{9}{\left(x-4\right)^2}  

e)

−10(x−4)2\frac{-10}{\left(x-4\right)^2}  

2.

Turunan pertama dari y=2x3−4x2+2y=2x^3-4x^2+2  adalah ....

a)

y′=6x2−8x+2y'=6x^2-8x+2  

b)

y′=6x2+8x+2y'=6x^2+8x+2  

c)

y′=6x3−8x2y'=6x^3-8x^2  

d)

y′=6x2−8xy'=6x^2-8x  

e)

y′=6x2+8xy'=6x^2+8x  

3.

Diketahui f(x)=2x3−2x2−4x+1f\left(x\right)=2x^3-2x^2-4x+1 . Turunan pertama dari  f(x)f\left(x\right)  adalah  f′(x)=....f'\left(x\right)=....  

a)

6x2−4x−46x^2-4x-4  

b)

2x2−2x−42x^2-2x-4  

c)

6x2−4x−36x^2-4x-3  

d)

6x3−4x2−46x^3-4x^2-4  

e)

6x3−4x2−4x6x^3-4x^2-4x  

4.

y=(x2−1)(x3+3)y=\left(x^2-1\right)\left(x^3+3\right)  Turunan pertama dari adalah ....

a)

x5−x3+3x2−3x^5-x^3+3x^2-3  

b)

5x4+3x2+6x5x^4+3x^2+6x  

c)

5x4−3x2+6x5x^4-3x^2+6x  

d)

5x4−3x2−6x5x^4-3x^2-6x  

e)

x4−x2+xx^4-x^2+x  

5.

Turunan pertama dari y=3x2−5x+4y=3x^2-5x+4  adalah ....

a)

y′=6x+5y'=6x+5  

b)

y′=6x−5y'=6x-5  

c)

y′=3x+5y'=3x+5  

d)

y′=3x−5y'=3x-5  

e)

y′=5x−4y'=5x-4  

6.

Turunan fungsi

f(x) = (5x-3) (2x2+1) adalah…..

a)

10x2 – x – 3

b)

20x – 1

c)

30x2 – 12x + 5

d)

30x – 12

e)

5(2x2 +1) + 2x(5x-3)

7.

Turunan pertama dari f(x)=6x2 + 2x −42x3f\left(x\right)=\frac{6x^2\ +\ 2x\ -4}{2x^3}  adalah....

a)

−3x2−2x3+6x4\frac{-3}{x^2}-\frac{2}{x^3}+\frac{6}{x^4}  

b)

3x2−2x3+6x4\frac{3}{x^2}-\frac{2}{x^3}+\frac{6}{x^4}  

c)

−3x2+2x3+6x4\frac{-3}{x^2}+\frac{2}{x^3}+\frac{6}{x^4}  

d)

−3x2−2x3−6x4\frac{-3}{x^2}-\frac{2}{x^3}-\frac{6}{x^4}  

e)

3x2+2x3+6x4\frac{3}{x^2}+\frac{2}{x^3}+\frac{6}{x^4}  

8.

Fungsi f ditentukan oleh f(x)=2x3+3x2−4x−10f\left(x\right)=2x^3+3x^2-4x-10 . Nilai dari  f′(−1)=....f'\left(-1\right)=....   

a)

−16-16  

b)

−12-12  

c)

−10-10  

d)

−8-8  

e)

−4-4  

9.

Turunan fungsi f(x)=5x3−12x2+4x−100f\left(x\right)=5x^3-12x^2+4x-100  adalah ....

a)

f′(x)=8x2−14x+4f'\left(x\right)=8x^2-14x+4  

b)

f′(x)=15x2−24x+4f'\left(x\right)=15x^2-24x+4  

c)

f′(x)= 15x3−24x2+4xf'\left(x\right)=\ 15x^3-24x^2+4x  

d)

f′(x)=125x2−144x+4f'\left(x\right)=125x^2-144x+4  

e)

f′(x)= 8x3−14x2−4f'\left(x\right)=\ 8x^3-14x^2-4  

10.

Turunan dari (3x2+5)4\left(3x^2+5\right)^4  adalah ....

a)

12(3x2+5)312\left(3x^2+5\right)^3  

b)

24x(3x2+5)324x\left(3x^2+5\right)^3  

c)

12x(3x2+5)312x\left(3x^2+5\right)^3  

d)

24(3x2+5)324\left(3x^2+5\right)^3