Quiz about Turunan Aljabar Kelas 11

Question 1

Jika ada fungsi $$f\left(x\right)=\frac{3}{x}$$ , maka turunan pertama dari fungsi tersebut adalah ...

Accepted Answer

$$-\frac{3}{x^2}$$

Answer

$$\frac{3}{x}$$

Answer

$$\frac{4}{6x}$$

Answer

$$\frac{3}{x^2}$$

Answer

$$-\frac{1}{x^2}$$

Question 2

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

Accepted Answer

$$6x$$

Answer

$$3x+2$$

Answer

$$6x+2$$

Answer

$$2x+2$$

Answer

$$3x$$

Question 3

Diketahui $$f\left(x\right)=5+2x-3x^2$$ , maka nilai $$f$$

Accepted Answer

- 10

Answer

- 11

Answer

- 4

Answer

13

Answer

14

Question 4

Tentukan Turunan pertama dari $$f(x)=\frac{1}{x^2}+\ 3x^2-\frac{5}{x^3}$$ !

Accepted Answer

$$-\frac{2}{x^3}+6x\ +\frac{15}{x^4}$$

Answer

$$-\frac{2}{x^3}-6x\ -\frac{15}{x^4}$$

Answer

$$-\frac{2}{x^3}-6x\ +\frac{15}{x^4}$$

Answer

$$\frac{2}{x^3}+6x\ +\frac{15}{x^4}$$

Question 5

Nilai turunan pertama dari $$f\left(x\right)=\ \sqrt{2x+4}$$ adalah....

Accepted Answer

$$\frac{1}{\sqrt{2x+4}}$$

Answer

$$\frac{2}{\sqrt{2x+4}}$$

Answer

$$\frac{-1}{\sqrt{2x+4}}$$

Answer

$$\frac{-2}{\sqrt{2x+4}}$$

Answer

$$\frac{3}{\sqrt{2x+4}}$$

Question 6

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

Accepted Answer

$$5x^4-3x^2+6x$$

Answer

$$x^5-x^3+3x^2-3$$

Answer

$$5x^4+3x^2+6x$$

Answer

$$5x^4-3x^2-6x$$

Answer

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

Question 7

Diberikan fungsi $$f\left(x\right)=2x^3$$ dan $$g\left(x\right)=3x^2+12x$$ . Jika $$f$$ , nilai a yang memenuhi adalah ....

Accepted Answer

$$-1\ atau\ 2$$

Answer

$$-2\ atau\ 1$$

Answer

$$1\ atau\ 2$$

Answer

$$2\ atau\ 3$$

Answer

$$3\ atau\ 4$$

Question 8

Turunan dari fungsi $$f\left(x\right)=\frac{1}{7x^4}$$ adalah . . . .

Accepted Answer

$$f$$

Question 9

turunan pertama dari fungsi $$f\left(x\right)=\left(x^2+x-1\right)\left(3x+2\right)$$

Accepted Answer

$$9x^2+10x-1$$

Answer

$$9x^2-10x+1$$

Answer

$$9x^2-10x-1$$

Answer

$$-9x^2+10x+1$$

Question 10

Turunan pertama dari fungsi $$f\left(x\right)=\frac{3x-1}{x^2+3}$$

Accepted Answer

$$\frac{-3x^2+2x+9}{\left(x^2+3\right)^2}$$

Answer

$$\frac{3x^2+2x+9}{\left(x^2+3\right)^2}$$

Answer

$$\frac{-3x^2+2x+9}{\left(x^2+3\right)}$$

Answer

$$\frac{3x^2+2x+9}{\left(x^2+3\right)}$$

Question 11

Tentukan Turunan pertama dari $$f(x)=\frac{1}{x^2}+\ 3x^2-\frac{5}{x^3}$$ !

Accepted Answer

$$-\frac{2}{x^3}+6x\ +\frac{15}{x^4}$$

Answer

$$-\frac{2}{x^3}-6x\ -\frac{15}{x^4}$$

Answer

$$-\frac{2}{x^3}-6x\ +\frac{15}{x^4}$$

Answer

$$\frac{2}{x^3}+6x\ +\frac{15}{x^4}$$

Question 12

Turunan dari $$f\left(x ight)=\frac{2x-1}{4x+3},x e\frac{3}{4}$$ adalah ....

Accepted Answer

$$f$$

Question 13

Turunan pertama dari $$f\left(x\right)=\frac{x^2-3}{5x+2}$$ adalah $$f$$ . Nilai dari $$f$$

Accepted Answer

$$\frac{15}{4}$$

Answer

$$-\frac{17}{4}$$

Answer

$$-\frac{15}{4}$$

Answer

$$\frac{6}{4}$$

Answer

$$\frac{17}{4}$$

Question 14

Tentukan turunan pertama dari $$f\left(x\right)=\frac{2x+8}{3x+1}$$ !

Accepted Answer

$$-\frac{22}{\left(3x+1\right)^2}$$

Answer

$$\frac{22}{\left(3x+1\right)^2}$$

Answer

$$-\frac{11}{\left(3x+1\right)^2}$$

Answer

$$\frac{11}{\left(3x+1\right)^2}$$

Answer

$$\frac{26}{\left(3x+1\right)^2}$$

Question 15

Turunan dari $$y=10x^3$$

Accepted Answer

$$y$$

Question 16

Jika $$f\left(x\right)=\frac{-4x-2}{x-3}$$ , maka $$f$$

Accepted Answer

$$\frac{14}{\left(x-3\right)^2}$$

Answer

$$\frac{8x-10}{\left(x-3\right)^2}$$

Answer

$$\frac{10}{\left(x-3\right)^2}$$

Answer

$$\frac{8x}{\left(x-3\right)^2}$$

Answer

$$\frac{14-8x}{\left(x-3\right)^2}$$

Turunan Aljabar Kelas 11

20 questions

Diketahui f(x) = 4x³ + 3x² + 2x + 1.
f ‘(x) =….

Diketahui
f(x) = 3x² - 5x + 2
g(x) = x² + 3x - 3
Jika h(x) = f(x) - 2g(x), maka h'(x)=...

Turunan pertama dari f(x) = (2 - 6x)³ adalah f'(x) = . . . .

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