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Turunan Fungsi Trigonometri

Authored by Sriwahyu Ningsih

Mathematics

12th Grade

CCSS covered

Used 120+ times

Turunan Fungsi Trigonometri
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20 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui fungsi

 f(x)=sin⁡2xtan⁡xf\left(x\right)=\frac{\sin2x}{\tan x}  . Turunan pertama fungsi  f(x)f\left(x\right)  adalah . . .

 f′(x)=2sin⁡2xf'\left(x\right)=2\sin2x  

 f′(x)=12sin⁡2xf'\left(x\right)=\frac{1}{2}\sin2x  

 f′(x)=−12sin⁡2xf'\left(x\right)=-\frac{1}{2}\sin2x  

 f′(x)=−2sin⁡2xf'\left(x\right)=-2\sin2x  

 f′(x)=−4sin⁡2xf'\left(x\right)=-4\sin2x  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui  f(x)=3cos⁡(x2−2x+5)f\left(x\right)=3\cos\left(x^2-2x+5\right) .  Turunan pertama dari fungsi tersebut adalah . . .

 f′(x)=3sin⁡(x2−2x+5)f'\left(x\right)=3\sin\left(x^2-2x+5\right)  

 f′(x)=(2−2x)sin⁡(x2−2x+5)f'\left(x\right)=\left(2-2x\right)\sin\left(x^2-2x+5\right)  

 f′(x)=(2x−2)sin⁡(x2−2x+5)f'\left(x\right)=\left(2x-2\right)\sin\left(x^2-2x+5\right)  

 f′(x)=(6−6x)sin⁡(x2−2x+5)f'\left(x\right)=\left(6-6x\right)\sin\left(x^2-2x+5\right)  

 f′(x)=(6x−6)sin⁡(x2−2x+5)f'\left(x\right)=\left(6x-6\right)\sin\left(x^2-2x+5\right)  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan pertama dari fungsi

 y=3sin⁡x−cos⁡xy=3\sin x-\cos x  adalah . . .

 3cos⁡x−sin⁡x3\cos x-\sin x  

 3cos⁡x+sin⁡x3\cos x+\sin x  

 cos⁡x−sin⁡x\cos x-\sin x  

 cos⁡x+sin⁡x\cos x+\sin x  

 5cos⁡x−sin⁡x5\cos x-\sin x  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Bentuk turunan pertama dari fungsi

 g(x)=1−sin⁡θsin⁡θ−3g\left(x\right)=\frac{1-\sin\theta}{\sin\theta-3}  adalah . . .

 −2cos⁡θ(sin⁡θ−3)2\frac{-2\cos\theta}{\left(\sin\theta-3\right)^2}  

 −2cos⁡θ-2\cos\theta  

 −2sin⁡θ-2\sin\theta  

 2sin⁡θ2\sin\theta  

 2cos⁡θ(sin⁡θ−3)2\frac{2\cos\theta}{\left(\sin\theta-3\right)^2}  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan pertama dari fungsi

 g(x)=cos⁡3xg\left(x\right)=\cos^3x  adalah . . .

 cos⁡xsin⁡x\cos x\sin x  

 3cos⁡2xsin⁡x3\cos^2x\sin x  

 −3cos⁡2xsin⁡x-3\cos^2x\sin x  

 3sin⁡2xcos⁡x3\sin^2x\cos x  

 cos⁡3xsin⁡x\cos^3x\sin x  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan pertama dari fungsi

 g(x)=sin⁡2x−cos⁡xcos⁡4xg\left(x\right)=\frac{\sin2x-\cos x}{\cos4x}  adalah  g′(x)g'\left(x\right)  . Nilai dari  g′(π4)g'\left(\frac{\pi}{4}\right)  adalah . . .

 44  

 22  

 122\frac{1}{2}\sqrt{2}  

 −122-\frac{1}{2}\sqrt{2}  

 −1-1  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika fungsi  y=sin⁡3x−cos⁡3xy=\sin3x-\cos3x  , maka nilai dari turunan pertama fungsi  yy  saat  x=π4x=\frac{\pi}{4}  adalah . . .

 −2-2  

 −1-1  

 00  

 11  

 22  

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