Free Printable Turunan Fungsi Trigonometri dan Inversi Trigonometri

1.

Turunan pertama dari $h\left(x\right)=\operatorname{cotan}\ \left(\frac{\pi}{4}-x\right)$ adalah....

a)

$\operatorname{cosec}^2\left(\frac{\pi}{4}-x\right)$

b)

$\sec^2\left(\frac{\pi}{4}-x\right)$

c)

$-\sec^2\left(\frac{\pi}{4}-x\right)$

d)

$-\operatorname{cosec}^2\left(\frac{\pi}{4}-x\right)$

2.

Turunan pertama dari $p\left(x\right)=\sec\ \left(x-\frac{\pi}{2}\right)$ adalah....

a)

$-\sec\left(x-\frac{\pi}{2}\right).\tan\left(x-\frac{\pi}{2}\right)$

b)

$\sec\left(x-\frac{\pi}{2}\right).\tan\left(x-\frac{\pi}{2}\right)$

c)

$\operatorname{cosec}\left(x-\frac{\pi}{2}\right).\operatorname{cotan}\left(x-\frac{\pi}{2}\right)$

d)

$-\operatorname{cosec}\left(x-\frac{\pi}{2}\right).\operatorname{cotan}\left(x-\frac{\pi}{2}\right)$

3.

Turunan pertama dari $f\left(x\right)=4\tan\ \left(\frac{1}{2}x\right)$ adalah....

a)

$2\operatorname{cosec}^2\left(\frac{1}{2}x\right)$

b)

$-2\sec^2\left(\frac{1}{2}x\right)$

c)

$2\sec^2\left(\frac{1}{2}x\right)$

d)

$-2\operatorname{cosec}^2\left(\frac{1}{2}x\right)$

4.

Turunan pertama dari $g\left(x\right)=\tan\ \left(1+5x\right)$ adalah....

a)

$5\operatorname{cosec}^2\left(1+5x\right)$

b)

$-5\operatorname{cosec}^2\left(1+5x\right)$

c)

$-5\sec^2\left(1+5x\right)$

d)

$5\sec^2\left(1+5x\right)$

5.

Turunan pertama dari $𝑓(𝑥)=𝑐𝑜𝑠𝑒𝑐𝑥−2𝑡𝑎𝑛^2𝑥+4𝑥$ adalah....

a)

$-\operatorname{cosec}x.\cot\ x-4\tan x.\sec^2x+4$

b)

$\operatorname{cosec}x.\cot\ x-4\tan x.\sec^2x+4$

c)

$\operatorname{cosec}x.\cot\ x+4\tan x.\sec^2x+4$

d)

$-\operatorname{cosec}x.\cot\ x+4\tan x.\sec^2x+4$

6.

Turunan pertama dari $𝑓(𝑥)=\sec^2x-2\cos x$ adalah....

a)

$-2\left(\sec^2x.\tan x+\sin x\right)$

b)

$2\left(\sec^2x.\tan x+\sin x\right)$

c)

$2\left(\operatorname{cosec}^2x.\operatorname{cotan}x+\sin x\right)$

d)

$-2\left(\operatorname{cosec}^2x.\operatorname{cotan}x+\sin x\right)$

7.

Turunan pertama dari $𝑓(𝑥)=\left(\sec\left(3x+\frac{\pi}{3}\right)\right)^3$ adalah....

a)

$-9\operatorname{cosec}^3\left(3x+\frac{\pi}{3}\right).\operatorname{cotan}\left(3x+\frac{\pi}{3}\right)$

b)

$-9\sec^3\left(3x+\frac{\pi}{3}\right).\operatorname{cotan}\left(3x+\frac{\pi}{3}\right)$

c)

$9\sec^3\left(3x+\frac{\pi}{3}\right).\tan\left(3x+\frac{\pi}{3}\right)$

d)

$-9\sec^3\left(3x+\frac{\pi}{3}\right).\tan\left(3x+\frac{\pi}{3}\right)$

8.

Turunan pertama dari $𝑓(𝑥)=x^2\operatorname{cosec}\ 2x$ adalah....

a)

$2x\sec\ 2x\left(1-x\tan2x\right)$

b)

$2x\operatorname{cosec}\ 2x\left(1+x\operatorname{cotan}2x\right)$

c)

$-2x\operatorname{cosec}\ 2x\left(1-x\operatorname{cotan}2x\right)$

d)

$2x\operatorname{cosec}\ 2x\left(1-x\operatorname{cotan}2x\right)$

9.

Turunan pertama dari $𝑓(𝑥)=\frac{3}{8}\arcsin\left(-\frac{1}{3}x\right)$ adalah....

a)

$-\frac{1}{8}\left(\frac{1}{\sqrt{1-\frac{1}{9}x^2}}\right)$

b)

$\frac{1}{8}\left(\frac{1}{\sqrt{1-\frac{1}{9}x^2}}\right)$

c)

$-\frac{1}{8}\left(\frac{1}{\sqrt{1+\frac{1}{9}x^2}}\right)$

d)

$\frac{1}{8}\left(\frac{1}{\sqrt{1+\frac{1}{9}x^2}}\right)$

10.

Turunan pertama dari $𝑓(𝑥)=-3\arccos\left(2x\right)$ adalah....

a)

$-\frac{6}{\sqrt{1-4x^2}}$

b)

$\frac{6}{\sqrt{1-4x^2}}$

c)

$\frac{6}{\sqrt{1+4x^2}}$

d)

$-\frac{6}{\sqrt{1+4x^2}}$

Turunan Fungsi Trigonometri dan Inversi Trigonometri

Total questions: 10

Worksheet time: 9mins

Similar Resources on Wayground