Quiz about Turunan Fungsi Trigonometri

Question 1

$$Jika\ f\left(x\right)\ =\ \sin\ x\ maka\ f$$

Accepted Answer

cos x

Answer

sin x

Answer

tan x

Answer

- cos x

Question 2

$$Jika\ f\left(x\right)=\cos\ x\ maka\ f$$

Accepted Answer

- sin x

Answer

cos x

Answer

sin x

Answer

- cos x

Question 3

$$Jika\ f\left(x\right)=\cos\left(x^2-3x\right),\ maka\ f$$

Accepted Answer

$$(3–2x)\sin(x^2–3x)$$

Answer

$$\left(2x-3\right)\sin\left(x^2-3x\right)$$

Answer

$$\sin(2x–3)$$

Answer

$$–\sin(2x–3)$$

Question 4

Jika p(x) = sin x . cos 2x, maka p '(x) = ... .

Accepted Answer

cos x cos (2x) - 2 sin x sin (2x)

Answer

cos x cos (2x) + 2 sin x sin (2x)

Answer

sin x sin (2x) - 2 cos x cos (2x)

Answer

cos x sin x - 2 sin (2x) cos (2x)

Question 5

$$\frac{d}{dx}\left(\frac{\sin\ x}{2+\cos\ x}\right)\ =\ ...\ .$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

Turunan pertama dari fungsi f(x) = (3 sinx)(8 cos x) adalah ... .

Accepted Answer

24 (cos²x - sin²x)

Answer

8 (cos²x - sin²x)

Answer

24 (sin²x - cos²x)

Answer

24 (cos x - sin x)

Question 7

$$f\left(x\right)=\sin^2x+\cos3x,\ maka\ nilai\ f$$

Accepted Answer

$$2\sin x\cos x-3\sin3x$$

Answer

$$2\sin x\cos x+3\sin3x$$

Answer

$$-2\sin x\cos x+3\sin3x$$

Answer

$$\sin x\cos x+2\sin3x$$

Question 8

$$jika\ f(x)=\cos^4\left(x\right),\ maka\ berapakah\ nilai\ dari\ f$$

Accepted Answer

$$f$$

Question 9

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

Accepted Answer

$$f$$

Question 10

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

Accepted Answer

$$y$$

Question 11

Jika $$f\left(x\right)=-5\cos3x$$ adalah turunan dari $$f$$ maka nilai $$f$$ adalah ....

Accepted Answer

$$15$$

Answer

$$0$$

Answer

$$5\sqrt{2}$$

Answer

$$\frac{15}{2}\sqrt{2}$$

Question 12

Jika fungsi $$y=\sin3x-\cos3x$$ , maka nilai dari turunan pertama fungsi $$y$$ saat $$x=30\degree$$ adalah . . .

Accepted Answer

3

Answer

$$0$$

Answer

$$1$$

Answer

$$2$$

Question 13

Jika diketahui bentuk fungsi $$f\left(x\right)=\cos^24x$$ , maka nilai dari turunan kedua dari fungsi $$f\left(x\right)$$ saat $$x=0$$ adalah . . .

Accepted Answer

$$-32$$

Answer

$$32$$

Answer

$$0$$

Answer

$$8$$

Question 14

Jika diketahui $$y\ =\ \cos^3x$$ maka nilai dari $$\frac{d^2y}{d^2x}\left(0\right)\ $$ adalah ... .

Accepted Answer

-3

Answer

0

Answer

3

Answer

6

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics