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APLIKASI TURUNAN FUNGSI TRIGONOMETRI

Authored by Nunik Endrowati

Mathematics

12th Grade

Used 7+ times

APLIKASI TURUNAN FUNGSI TRIGONOMETRI
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Gradien garis singgung kurva f(x)=cos⁡ xf\left(x\right)=\cos\ x di titik dengan absis x=π6x=\frac{\pi}{6} adalah ...

−12-\frac{1}{2}

−123-\frac{1}{2}\sqrt[]{3}

12\frac{1}{2}

122\frac{1}{2}\sqrt[]{2}

123\frac{1}{2}\sqrt[]{3}

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Persamaan garis normal kurva y=2 sin⁡x − 1y=2\ \sin x\ -\ 1 di titik berabsis x=π6x=\frac{\pi}{6} adalah ...

y=−33x+318πy=-\frac{\sqrt{3}}{3}x+\frac{\sqrt{3}}{18}\pi

y=−33x−318πy=-\frac{\sqrt{3}}{3}x-\frac{\sqrt{3}}{18}\pi

y=33x+318πy=\frac{\sqrt{3}}{3}x+\frac{\sqrt{3}}{18}\pi

y=−33x+33πy=-\frac{\sqrt{3}}{3}x+\frac{\sqrt{3}}{3}\pi

y=33x+33πy=\frac{\sqrt{3}}{3}x+\frac{\sqrt{3}}{3}\pi

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Persamaan garis singgung kurva y=2 sin⁡x − 1y=2\ \sin x\ -\ 1 di titik berabsis x=π6x=\frac{\pi}{6} adalah ...

y=3x−36πy=\sqrt[]{3}x-\frac{\sqrt[]{3}}{6}\pi

y=−3x−36πy=-\sqrt[]{3}x-\frac{\sqrt[]{3}}{6}\pi

y=3x+36πy=\sqrt[]{3}x+\frac{\sqrt[]{3}}{6}\pi

y=36x−36πy=\frac{\sqrt[]{3}}{6}x-\frac{\sqrt[]{3}}{6}\pi

y=36x+36πy=\frac{\sqrt[]{3}}{6}x+\frac{\sqrt[]{3}}{6}\pi

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Gradien garis singgung kurva f(x)=cos⁡ x +2sin⁡ xf(x)=\frac{\cos\ x\ +2}{\sin\ x} di titik dengan absis x=π2x=\frac{\pi}{2} adalah ...

-1

-2

0

2

1

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Persamaan garis singgung kurva y=cot⁡⁡x−2cosec⁡xy=\cot⁡x-2\operatorname{cosec}x di titik (π3,−3)\left(\frac{\pi}{3},-\sqrt[]{3}\right) adalah ...

y=−3y=-\sqrt{3}

y=3y=\sqrt{3}

y=−3xy=-\sqrt{3}x

y=3xy=\sqrt{3}x

y=−3x+πy=-\sqrt{3}x+\pi

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Persamaan garis normal kurva y=tan⁡ xy=\tan\ x di titik (π4,1)\left(\frac{\pi}{4},1\right)  adalah …

y=−12x+π8+1y=-\frac{1}{2}x+\frac{\pi}{8}+1

y=12x+π8+1y=\frac{1}{2}x+\frac{\pi}{8}+1

y=−12x+π8−1y=-\frac{1}{2}x+\frac{\pi}{8}-1

y=2x−π2+1y=2x-\frac{\pi}{2}+1

y=−2x−π2+1y=-2x-\frac{\pi}{2}+1

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Salah satu nilai stasioner dari f(x)= 4 sin⁡ (2x−π)f\left(x\right)=\ 4\ \sin\ \left(2x-\pi\right) adalah ...

4

2

1

π\pi

−π-\pi

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