Jika f ( x ) = 4 cos ⁡ 2 x f\left(x\right)=4\cos2x f ( x ) = 4 cos 2 x maka nilai f ′ ( 60 ° ) = . . . f'\left(60\degree\right)=... f ′ ( 6 0 ° ) = . . . .

− 4 3 -4\sqrt{3} − 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 2 3 -2\sqrt{3} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 3 -\sqrt{3} − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 3 2\sqrt{3} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

4 3 4\sqrt{3} 4 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Turunan pertama dari fungsi f\left(x\right)=\sin\ 2x\ .\ \cos\ 3x f ( x ) = sin 2 x . cos 3 x adalah f ′ ( x ) f'\left(x\right) f ′ ( x ) . Nilai dari f ′ ( π 4 ) = . . . . f'\left(\frac{\pi}{4}\right)=.... f ′ ( 4 π ) = . . . .

− 3 2 2 -\frac{3}{2}\sqrt{2} − 2 3 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 1 2 2 -\frac{1}{2}\sqrt{2} − 2 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 3\sqrt{2} 3 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Sebuah partikel bergerak menurut persamaan gerak f(t) = sin 3 t + 4 cos t, maka persamaan percepatan gerak benda adalah ... .

6 sin t cos 2 t - 3 sin 2 t sint-4 cost

6 sin t cos 2 t + 3 sin 2 t sint-4 cost

6 sin t cos 2 t - 3 sin 2 t sint+4 cost

6 sin t cos 2 t + 3 sin 2 t sint+4 cost

-6 sin t cos 2 t - 3 sin 2 t sint-4 cost

TURUNAN fUNGSI TRIGONOMETRI

Authored by FX Rusgianto

Mathematics

12th Grade

CCSS covered

Used 599+ times

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20 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Turunan pertama dari fungsi f(x) = 3 sin (4x) adalah ... .

f ' (x) = 3 cos (4x)

f ' (x) = 12 cos (4x)

f ' (x) = 3 sin (4x)

f ' (x) = 12 sin (4x)

f ' (x) = - 12 cos (4x)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Turunan pertama dari fungsi f(x) = 5 cos (2x - 1) adalah ... .

f '(x) = 10 sin (2x - 1)

f '(x) = - 10 sin (2x - 1)

f '(x) = 5 sin (2x - 1)

f '(x) = - 5 sin (2x - 1)

f '(x) = sin (2x - 1)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Turunan pertama dari fungsi f(x) = 7 sin x - 4 cos(3x) + 2x³ adalah ... .

7 cos x + 12 sin (x) + 6x²

-7 cos x + 12 sin (3x) + 6x²

7 cos x - 12 sin (3x) + 6x²

7 cos x + 12 sin (3x) + 6x²

7 cos x + 4 sin (3x) + 6x²

Tags

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

8 (cos²x - sin²x)

24 (cos²x - sin²x)

24 (sin²x - cos²x)

24 (cos x - sin x)

12 (cos²x - sin²x)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Turunan dari fungsi $\ y\ =\ Sin^32x\$ adalah ... .

$\frac{\text{d}x}{\text{d}y}=3\ Sin^22x.Cos\ 2x$

$\frac{\text{d}x}{\text{d}y}=6\ Sin^22x.Cos\ 2x$

$\frac{\text{d}x}{\text{d}y}=3\ Sin^22x$

$\frac{\text{d}x}{\text{d}y}=6\ Sin^22x$

$\frac{\text{d}x}{\text{d}y}=Sin^22x.\ \cos\ 2x$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jika f(x) = Sin x + Cos x + 3x
maka nilai dari $f'\left(\pi\right)=\ ...$

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Jika $f\left(x\right)=4\cos2x$ maka nilai $f'\left(60\degree\right)=...$ .

$-4\sqrt{3}$

$-2\sqrt{3}$

$-\sqrt{3}$

$2\sqrt{3}$

$4\sqrt{3}$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui $f\left(x\right)=\frac{1+\sin x}{\cos x}$ maka $f'\left(\frac{1}{6}\pi\right)=$ ....

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{3}{4}$

$2$

$-2$

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

$3\cos\left(2-6x\right)$

$\cos\left(6x-2\right)$

$3\sin\left(2-6x\right)$

$\sin\left(6-2x\right)$

$\sin\left(1-3x\right)$

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Turunan pertama dari fungsi $f\left(x\right)=\sin\ 2x\ .\ \cos\ 3x$ adalah $f'\left(x\right)$ . Nilai dari $f'\left(\frac{\pi}{4}\right)=....$

$-\frac{3}{2}\sqrt{2}$

$-\frac{1}{2}\sqrt{2}$

$0$

$\sqrt{2}$

$3\sqrt{2}$

Tags

CCSS.HSF.TF.A.3

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TURUNAN fUNGSI TRIGONOMETRI

Turunan pertama dari fungsi f(x) = 3 sin (4x) adalah ... .

Turunan pertama dari fungsi f(x) = 5 cos (2x - 1) adalah ... .

Turunan pertama dari fungsi f(x) = 7 sin x - 4 cos(3x) + 2x3 adalah ... .

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

Turunan dari fungsi y = Sin32x \ y\ =\ Sin^32x\ y = Sin32x adalah ... .

Jika f(x) = Sin x + Cos x + 3xmaka nilai dari f′(π)= ...f'\left(\pi\right)=\ ...f′(π)= ...

Jika f(x)=4cos⁡2xf\left(x\right)=4\cos2xf(x)=4cos2x maka nilai f′(60°)=...f'\left(60\degree\right)=...f′(60°)=... .

Diketahui f(x)=1+sin⁡xcos⁡xf\left(x\right)=\frac{1+\sin x}{\cos x}f(x)=cosx1+sinx​ maka f′(16π)=f'\left(\frac{1}{6}\pi\right)=f′(61​π)= ....

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

Turunan pertama dari fungsi f\left(x\right)=\sin\ 2x\ .\ \cos\ 3xf(x)=sin 2x . cos 3x adalah f′(x)f'\left(x\right)f′(x) . Nilai dari f′(π4)=....f'\left(\frac{\pi}{4}\right)=....f′(4π​)=....

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Popular Resources on Wayground

Turunan pertama dari fungsi f(x) = 7 sin x - 4 cos(3x) + 2x³ adalah ... .

Turunan dari fungsi $\ y\ =\ Sin^32x\$ adalah ... .

Jika f(x) = Sin x + Cos x + 3x
maka nilai dari $f'\left(\pi\right)=\ ...$

Jika $f\left(x\right)=4\cos2x$ maka nilai $f'\left(60\degree\right)=...$ .

Diketahui $f\left(x\right)=\frac{1+\sin x}{\cos x}$ maka $f'\left(\frac{1}{6}\pi\right)=$ ....

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

Turunan pertama dari fungsi $f\left(x\right)=\sin\ 2x\ .\ \cos\ 3x$ adalah $f'\left(x\right)$ . Nilai dari $f'\left(\frac{\pi}{4}\right)=....$