Quiz about Turunan Fungsi Trigonometri

Question 1

Jika $$f\left(x\right)=5\ \sin\ 3x\ maka\ f$$

Accepted Answer

15 cos 3x

Answer

5 sin 15 x

Answer

15 sin 3x

Answer

Answer

Question 2

hasil dari $$\frac{d}{dx}\left(3x-1\right)\cos\left(2x-3\right)\ adalah....$$

Accepted Answer

3 cos (2x-3) - (6x-2) sin (2x-3)

Answer

(6x+2) cos (2x-3) + sin (2x-3)

Answer

cos (2x-3)+ sin (2x-3)

Answer

-(6x+2) sin (2x-3)

Answer

cos (2x-3) - (6x+2)

Question 3

jika $$f\left(x\right)=x^2.\ \sin\ 3x\ maka\ f$$

Accepted Answer

2x. sin 3x + 3x²cos 3x

Answer

2x. sin 3x - 3x²cos 3x

Answer

2x. cos 3x + 3x² sin 3x

Answer

2x. cos 3x - 3x² sin 3x

Answer

6x cos 3x

Question 4

Jika $$f\left(x\right)\ =\ \sin^2\ \ \left(2x+\frac{1}{3}\pi\right)\ ,\ maka\ f$$

Accepted Answer

$$2\ \sin\left(\frac{2}{3}\pi\right)$$

Answer

$$2\ \sin\left(\frac{1}{3}\pi\right)$$

Answer

$$2\ \sin\left(\frac{1}{2}\pi\right)$$

Answer

$$4\ \sin\left(\frac{1}{3}\pi\right)$$

Answer

$$4\ \sin\left(\frac{2}{3}\pi\right)$$

Question 5

Diketahui y = (sin 2x) ². Supaya $$\frac{dy}{dx}=2,\ maka\ nilai\ x\ adalah....$$

Accepted Answer

$$\frac{1}{8}\pi$$

Answer

$$\frac{1}{6}\pi$$

Answer

$$\frac{1}{4}\pi$$

Answer

$$\frac{1}{2}\pi$$

Answer

$$\pi$$

Question 6

$$Jika\ f\left(x\right)\ =\ \frac{\sin\ x}{\sin\ x\ +\ \cos\ x}maka\ f$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{8}$$

Answer

$$\frac{1}{4}$$

Answer

1

Answer

2

Question 7

Turunan dari f(x,y) = sin x + cos y = 2 $$\pi$$ adalah....

Accepted Answer

$$\frac{\cos\ x}{\sin\ y}$$

Answer

$$-\frac{\cos\ x}{\sin\ y}$$

Answer

$$-\frac{\cos\ y}{\sin\ x}$$

Answer

$$\frac{\sin\ y}{\cos\ x}$$

Answer

$$\frac{\sin\ x}{\cos\ y}$$

Question 8

$$Turunan\ pertama\ dari\ fungsi\ f\left(x\right)\ =\ \frac{2x+4}{\sin\ x}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{2.\ \sin\ x\ -\ x.\ \cos\ x\ +\ 2.\ \cos\ x}{\sin\ ^2\ x}$$

Answer

$$\frac{\sin\ x\ -\ x.\ \cos\ x\ +\ 2.\ \cos\ x}{\sin\ ^2\ x}$$

Question 9

$$Jika\ y\ =\ \frac{x}{\sin\ x}maka\ \frac{ ext{d}y}{ ext{d}x}=....$$

Accepted Answer

$$\frac{\sin\ x\ -\ x.\ \cos\ x}{\sin^2\ x}$$

Answer

$$\frac{\sin\ x\ +\ x.\ \cos\ x}{\sin^2\ x}$$

Answer

$$\frac{\cos\ x\ -\ x.\ \sin\ x}{\sin^2\ x}$$

Answer

$$\frac{\cos\ x\ +\ x.\ \sin\ x}{\sin^2\ x}$$

Answer

$$\frac{\cos\ x\ -\ x.\ \cos\ x}{\cos\ ^2\ x}$$

Question 10

$$Jika\ f\left(x ight)\ =\ an\ 2x\ maka\ f$$

Accepted Answer

2 sec2 2x

Answer

2 cosec ² 2x

Answer

2 tan 2 2x

Answer

-2 sec² 2x

Answer

-2 cosec ²2x

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