Latihan soal Turunan Fungsi Trigonometri

Latihan soal Turunan Fungsi Trigonometri

12th Grade

10 Qs

quiz-placeholder

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Latihan soal Turunan Fungsi Trigonometri

Latihan soal Turunan Fungsi Trigonometri

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Medium

Created by

Hajjar Ekasari

Used 131+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Turunan dari fungsi  h(x)=23x3cos3xh\left(x\right)=\frac{2}{3}x^3-\cos3x  

adalah  h(x)=h'\left(x\right)=  ....

 x2+3sinxx^2+3\sin x  

 3x23sinx3x^2-3\sin x  

 3x2sin3x3x^2-\sin3x  

 2x2+3sinx2x^2+3\sin x  

 2x2+3sin3x2x^2+3\sin3x  

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Turunan dari fungsi  f(x)=2csc3xf\left(x\right)=-2\csc^3x  adalah  f(x)=f'\left(x\right)=  ....


 6csc3x.cotx-6\csc^3x.\cot x  

 6csc3x.cotx6\csc^3x.\cot x  

 6csc2x.cotx-6\csc^2x.\cot x  

 6csc2x.cotx6\csc^2x.\cot x  

 6csc2x-6\csc^2x  

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Diketahui f(x)=3tanxf\left(x\right)=3\tan x  dengan  f(x)f'\left(x\right)  adalah turunan pertama dari  f(x)f\left(x\right)  .  Nilai  f(π3)f'\left(\frac{\pi}{3}\right)  adalah ....

3

4

6

9

12

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Turunan pertama dari fungsi  f(x) =xsin xf\left(x\right)\ =\frac{x}{\sin\ x}  adalah ... 

 cos(x)xsin(x)sin2x\frac{\cos\left(x\right)-x\sin\left(x\right)}{\sin^2x}  

 sin(x)xcos(x)sin2x\frac{\sin\left(x\right)-x\cos\left(x\right)}{\sin^2x}  

 sin(x)+xcos(x)sin2x\frac{\sin\left(x\right)+x\cos\left(x\right)}{\sin^2x}   

 sin(x)xsin(x)sin2x\frac{\sin\left(x\right)-x\sin\left(x\right)}{\sin^2x}  

 sin(x)xcos(x)cos2x\frac{\sin\left(x\right)-x\cos\left(x\right)}{\cos^2x}  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Turunana pertama dari fungsi  f(x)=cos2(13x)f\left(x\right)=\cos^2\left(1-3x\right)  adalah ....

 3cos(26x)3\cos\left(2-6x\right)  

 cos(6x2)\cos\left(6x-2\right)  

 3sin(26x)3\sin\left(2-6x\right)  

 sin(62x)\sin\left(6-2x\right)  

 sin(13x)\sin\left(1-3x\right)  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Gradien garis singgung kurva  y=2+cosxy=2+\cos x   di absis 

 π3\frac{\pi}{3}  sama dengan...

 1-1  

 123-\frac{1}{2}\sqrt{3}  

 12-\frac{1}{2}  

 12\frac{1}{2}  

 123\frac{1}{2}\sqrt{3}  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Persamaan garis singgung kurva f\left(x\right)=\tan\ x  di titik  (π4,1)\left(\frac{\pi}{4},1\right)  adalah....

 y=2x+(1+π2)y=2x+\left(1+\frac{\pi}{2}\right)  

 y=2x+(π21)y=2x+\left(\frac{\pi}{2}-1\right)  

 y=2x+(1π2)y=2x+\left(1-\frac{\pi}{2}\right)  

 y=2x+(2π)y=2x+\left(2-\pi\right)  

 y=2x+(2+π)y=2x+\left(2+\pi\right)  

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