Quiz about Turunan Fungsi

Question 1

Tentukan turunan fungsi f(x)=5x-4 dengan menggunakan definisi turunan fungsi aljabar

Accepted Answer

5

Answer

4

Answer

3

Answer

2

Answer

1

Question 2

Turunan pertama dari $$f\left(x\right)=4x^3-2x^2+3x+7$$ adalah $$f$$ ...

Accepted Answer

$$12x^2-4x+3$$

Answer

$$4x^3-4x+3$$

Answer

$$4x^2-4x+3$$

Answer

$$12x-4x+3$$

Answer

$$12x^2-4x+3x$$

Question 3

Turunan pertama dari $$f\left(x\right)=4x^2+4x-20$$ adalah $$f$$ ...

Accepted Answer

$$8x+4$$

Answer

$$4x+4x$$

Answer

$$8x$$

Answer

$$8x^2+x$$

Answer

$$8+4x$$

Question 4

Turunan pertama dari $$f\left(x\right)=\frac{1}{4}x^4+\frac{1}{3}x^3-6x+4$$ adalah $$f$$ ...

Accepted Answer

$$x^3+x^2-6$$

Answer

$$x^3$$

Answer

$$x^3+x$$

Answer

$$x^3+x^2$$

Answer

$$x^3+x^2-6x$$

Question 5

Turunan pertama dari $$f\left(x\right)=\left(6x^2-4\right)\left(x+5\right)$$ adalah $$f$$ ...

Accepted Answer

$$18x^2+60x-4$$

Answer

$$18x+60x-4$$

Answer

$$18x^2+60$$

Answer

$$18x+60x$$

Answer

$$18x^2+60x$$

Question 6

Turunan pertama dari $$f\left(x\right)=\frac{3x-4}{x+1}$$ adalah $$f$$ ...

Accepted Answer

$$\frac{7}{\left(x+1\right)^2}$$

Answer

$$\frac{6}{\left(x+1\right)^2}$$

Answer

$$\frac{3x-3x}{\left(x+1\right)^2}$$

Answer

$$\frac{3x+3}{\left(x+1\right)^2}$$

Answer

$$\frac{-1}{\left(x+1\right)^2}$$

Question 7

Diketahui $$f\left(x\right)=5x^2+4x-5$$ nilai dari $$f$$ ...

Accepted Answer

34

Answer

33

Answer

35

Answer

37

Answer

38

Question 8

Turunan pertama dari $$y=\sin\sqrt[]{2x}$$ adalah $$y$$ ...

Accepted Answer

$$\sqrt[]{2}\cos\sqrt[]{2x}$$

Answer

$$\cos\sqrt[]{2}$$

Answer

$$\cos\sqrt[]{2x}$$

Answer

$$\sqrt[]{2x}\sin\sqrt[]{2x}$$

Answer

$$\sqrt[]{2}\sin\sqrt[]{2x}$$

Question 9

Turunan pertama dari $$f\left(x\right)=3\cos\left(6-3x\right)$$ adalah $$f$$ ...

Accepted Answer

$$9\sin\left(6-3x\right)$$

Answer

$$9\cos\left(6-3x\right)$$

Answer

$$9 an\left(6-3x ight)$$

Answer

$$3\sin\left(6-3x\right)$$

Answer

$$-3\sin\left(6-3x\right)$$

Question 10

Turunan pertama dari $$y=\cos\left(2x^2-x\right)$$ adalah $$y$$ ...

Accepted Answer

$$\left(-4x+1\right)\sin\left(2x^2-x\right)$$

Answer

$$-\left(4x-1\right)\cos\left(2x^2-x\right)$$

Answer

$$\left(-4x+1\right)\cos\left(2x^2-x\right)$$

Answer

$$-\left(4x-1\right)\sin\left(2x^2-x\right)$$

Answer

$$\left(-4x+1 ight) an\left(2x^2-x ight)$$

Question 11

Turunan pertama dari $$f\left(x\right)=\frac{\sin x-1}{\sin x+1}$$ adalah $$f$$ ...

Accepted Answer

$$\frac{2\cos x}{\left(\sin x+1\right)^2}$$

Answer

$$\frac{2\sin x}{\left(\sin x+1\right)^2}$$

Answer

$$\frac{ an x}{\left(\sin x+1 ight)^2}$$

Answer

$$\frac{2 an x}{\left(\sin x+1 ight)^2}$$

Answer

$$\frac{\cos x}{\left(\sin x+1\right)^2}$$

Question 12

Tentukan persamaan garis singgung kurva $$y=x^3+3x^2$$ di titik B (-3, 6) ...

Accepted Answer

$$y=9x+33$$

Answer

$$y=9x+21$$

Answer

$$y=9x+27$$

Answer

$$y=9x-33$$

Answer

$$y=9x-21$$

Question 13

Tentukan persamaan garis singgung kurva $$y=x^2+2x+1$$ yang melalui titik dengan absis 2 ...

Accepted Answer

$$y=6x-3$$

Answer

$$y=6x+3$$

Answer

$$y=6x+9$$

Answer

$$y=6x-12$$

Answer

$$y=6x-21$$

Question 14

Tentukan persamaan garis singgung kurva $$y=x^2-x+2$$ yang sejajar dengan garis $$y=4x-4$$ ...

Accepted Answer

$$y=5x-7$$

Answer

$$y=5x-15+8$$

Answer

$$y=5x-15$$

Answer

$$y=5x-8$$

Answer

$$y=5x+8$$

Question 15

Tentukan interval fungsi naik untuk $$f\left(x\right)=x^3+3x^2-9x-7$$ ...

Accepted Answer

$$x<-3\ atau\ x>1$$

Answer

$$x<3\ atau\ x>1$$

Answer

$$x<3\ atau\ x>-1$$

Answer

$$x>-3\ atau\ x<1$$

Answer

$$x>3\ atau\ x<-1$$

Question 16

Tentukan interval fungsi turun untuk $$f\left(x\right)=x^3+3x^2-9x-7$$ ...

Accepted Answer

$$-3<x<1$$

Answer

$$3<x<1$$

Answer

$$-3<x<-1$$

Answer

$$3<x<-1$$

Answer

$$-3>x>1$$

Question 17

Tentukan titik-titik stasioner fungsi $$f\left(x\right)=2x^2-12x+20$$ ...

Accepted Answer

(3, 2)

Answer

(2, 3)

Answer

(1, 2)

Answer

(2, 1)

Answer

(1, 3)

Question 18

Jumlah dari bilangan pertama dan kuadrat bilangan kedua adalah 75. Nilai terbesar dari hasil kali kedua bilangan tersebut adalah...

Accepted Answer

250

Answer

50

Answer

75

Answer

175

Answer

350

Question 19

Suatu pekerjaan dapat diselesaikan dalam x hari dengan biaya $$\left(4x-160+2000\right)$$ /x ribu rupiah per hari. Biaya minimum per hari penyelesaian tersebut adalah...

Accepted Answer

Rp.400.000,00

Answer

Rp.100.000,00

Answer

Rp.200.000,00

Answer

Rp.300.000,00

Answer

Rp.500.000,00

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