Free Printable TURUNAN FUNGSI TRIGONOMETRI

1.

jika diketahui, f(x) = tan 8x , maka berapakah f'(x) = ...,

a)

f'(x) = 8 tan 8x

b)

f'(x) = 8 tan x

c)

$f'(x)=8\ \cos^2\ 8x$

d)

$f'(x)=8\ \sec^28x$

2.

$jika\ y(x)=\sin\ 4x\ ,\ maka\ y'(x)=...,$

a)

y'(x) = 4 cos x

b)

y'(x) = 4 sin 4x

c)

y'(x) = - 4 sin 4x

d)

y'(x) = 4 cos 4x

3.

jika diketahui y(x) = tan x , maka y'(x) = ...,

a)

$y'(x)=\sec^2x$

b)

$y'(x)=\operatorname{cosec}^2x$

c)

$y'(x)=\sin^2x$

d)

$y'(x)=-\ \cos x$

4.

Jika y(x) = sin x , maka y'(x) = ...,

a)

y'(x) = tan x

b)

y'(x) = cos x

c)

y'(x) = - sin x

d)

y'(x) = -cos x

5.

jika y(x) = cos x , maka y'(x) =...,

a)

y'(x) = sin x

b)

y'(x) = tan x

c)

y'(x) = - sin x

d)

y'(x) = - cos x

6.

$jika\ diketahui:\ \ y\left(x\right)=5x^6\ ,\ maka\ berapakh\ nilai\ y'\left(x\right)=...,$

a)

$y'\left(x\right)=5x^3$

b)

$y'\left(x\right)=30x^5$

c)

$y'\left(x\right)=5x^6+30x$

d)

$y'\left(x\right)=30x^6$

7.

Nilai turunan pertama dari: f(x) = 2x³ + 12x² – 8x + 4 adalah …

a)

f'(x) = 4x² + 24x² – 8

b)

f'(x) = 6x² + 24x – 8

c)

f'(x) = 6x³ + 24x² – 8x + 4

d)

f'(x) = 6x² + 24x² + 8

8.

$jika\ :\ f(x)=4x^4+\sin\ x,\ maka\ f'\left(x\right)=...,$

a)

$f'(x)=16x^3+\sin\ x$

b)

$f'(x)=16x^3+\cos\ x$

c)

$f'(x)=16x^3-\cos\ x$

d)

$f'(x)=4x^3+\cos\ x$

9.

$jika\ diketahui:\ y\left(x\right)=\operatorname{cosec}\ x,\ maka\ y'\left(x\right)=...,$

a)

$y'\left(x\right)=\operatorname{cosec}\ x.\operatorname{cotan}\ x$

b)

$y'\left(x\right)=-\operatorname{cosec}^2\ x.\operatorname{cotan}\ x$

c)

$y'\left(x\right)=-\operatorname{cosec}^{ }\ x.\operatorname{cotan}\ x$

d)

$y'\left(x\right)=\operatorname{cosec}^2\ x.\operatorname{cotan}\ x$

10.

$jika\ f(x)=\cos^4\left(x\right),\ maka\ berapakah\ nilai\ dari\ f'\left(x\right)=...,$

a)

$f'(x)=3\cos^3\left(x\right).\sin\ x$

b)

$f'(x)=-4\cos^3\left(x\right).\sin\ x$

c)

$f'(x)=4\cos^3\left(x\right).\sin\ \left(3x\right)$

d)

$f'(x)=-4\cos^4\left(x\right)\cos\ x$

11.

$jika\ diketahui\ f(x)=\sin^4\left(x\right)\ ,\ maka\ y'\left(x\right)=...,$

a)

$f'(x)=\cos^4\left(x\right)$

b)

$f'(x)=4\sin^3\left(x\right).\sin\ 4x$

c)

$f'(x)=4\sin^4\left(x\right).\cos\ \left(x\right)$

d)

$f'(x)=4\ \sin^3\left(x\right).\cos\ x$

12.

$jika\ diketahui\ :\ g(x)=\tan^5\left(3x\right),\ maka\ nilai\ dari\ g'\left(x\right)=...,$

a)

$g'(x)=5\tan^3\left(3x\right).\sec\left(3x\right).3$

b)

$g'(x)=15\tan^4\left(3x\right).\sec^2\left(3x\right)$

c)

$g'(x)=15\tan^4\left(x\right).\sec^2\left(x\right)$

d)

$g'(x)=15\tan^4\left(3x\right).\sec^2\left(3x\right)$

13.

jika deketahui: g(x)= 3 sin x, maka berapak turunan pertamanya...?

a)

g'(x)= 3 cos x

b)

g'(x)= 3 sin 3x

c)

g'(x)= -3 sin x

d)

g'(x)= -3 cos x

14.

jika diketahui: p(x)=2 cos x, maka p'(x)=...,

a)

p'(x)=2 sin 2x

b)

p'(x)=2 cos 2x

c)

p'(x)= -2 sin x

d)

p'(x)=2 cos 2x

15.

$jika\ diketahui:\ \ y\left(x\right)=3x^6\ ,\ maka\ berapakh\ nilai\ y'\left(x\right)=...,$

a)

$y'\left(x\right)=18x^3$

b)

$y'\left(x\right)=30x^5$

c)

$y'\left(x\right)=5x^6+30x$

d)

$y'\left(x\right)=18x^5$

16.

$jika\ diketahui\ y=\tan^3\left(2x\right),\ maka\ y'=...,$

a)

$y'=3\tan^2\left(2x\right).\sec\ \left(2x\right)$

b)

$y'=3\tan^2\left(2x\right).\sec^2\left(2x\right)$

c)

$y'=6\tan^2\left(2x\right).\sec\ \left(2x\right)$

d)

$y'=6\tan^2\left(2x\right).\sec^2\left(2x\right)$

17.

$turunan\ pertama\ dari\ g\left(x\right)=\operatorname{cosec}\left(x\right)\ adalah...,$

a)

$g'\left(x\right)=\operatorname{cosec}\left(x\right).\tan\ \left(x\right)$

b)

$g'\left(x\right)=-\operatorname{cosec}^2\left(x\right).\tan\ \left(x\right)$

c)

$g'\left(x\right)=-\operatorname{cosec}\left(x\right).\operatorname{cotan}\left(x\right)$

d)

$g\left(x\right)=\operatorname{cotan}^2\left(x\right)$

18.

$\left(diketahui\ suatu\ fungsi\ trigonometri:\ g(x)=\sin(2x),\ maka\ berapakah\ hasil\ dari\ g'(\frac{\text{function(){return this.textTemplate}}}{\text{2}}\right)=...,$

a)

1

b)

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

c)

0

d)

-2

TURUNAN FUNGSI TRIGONOMETRI

Total questions: 18

Worksheet time: 22mins

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