Free Printable TURUNAN FUNGSI TRIGONOMETRI

1.

TURUNAN DARI

Sin x

a)

- cos x

b)

cos x

c)

tan x

d)

cotan x

2.

TURUNAN DARI

$2X^{5^{ }}-5X^4+X^2+2$

a)

$10X^4\ -20X^3+2X$

b)

$2X^4-4X^3+\ X$

c)

$2X-5X-X$

d)

$10X^5-20X^4+2X$

3.

$Diketahui\ f\left(x\right)=\cos\ x\ ,\ tentukan\ f'\left(\frac{\pi}{2}\right)\ =$

a)

$1$

b)

$-1$

c)

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

d)

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

4.

$Diketahui\ f'\left(x\right)=\sec^2x\ ,\ hitung\ f\left(\frac{\pi}{3}\right)=$

a)

$4$

b)

$-4$

c)

$2$

d)

$-2$

5.

$Turunan\ dari\ y=3\sin x-\cos\ x\$

a)

$3\cos x-\sin x$

b)

$3\cos\ x+\sin x$

c)

$\cos x-\sin x$

d)

$5\cos\ x-\sin x$

6.

$Jika\ g\left(x\right)=3x^2-\frac{1}{2x^2}+2\cos\ x,\ maka\ g'\left(x\right)\ sama\ dengan$

a)

$6x+\frac{1}{x^3}-2\sin\ x$

b)

$6x-\frac{1}{x^3}-2\sin x$

c)

$6x-\frac{1}{4x}-2\sin x$

d)

$6x+\frac{1}{x^2}+\sin x$

7.

$Turunan\ pertama\ dari\ fungsi\ y=\cos\left(2x^3-x^4\right)$

a)

$y'=\sin\left(2x^3-x^4\right)$

b)

$y'=-\sin\left(2x^3-x^4\right)$

c)

$y'=\left(6x^2-4x^3\right)\sin\left(2x^3-x^4\right)$

d)

$y'=-\left(6x^2-4x^3\right)\sin\left(2x^3-x^4\right)$

8.

$Turunan\ pertama\ fungsi\ f\left(x\right)=2\sin x+\tan x\ adalah$

a)

$f'\left(x\right)=2\cos x+\sec^2x$

b)

$f'\left(x\right)=-2\cos x+\sec^2x$

c)

$f'\left(x\right)=2\cos x-\sec^2x$

d)

$f'\left(x\right)=\cos x+\sec^2x$

9.

$Turunan\ pertama\ y=\frac{1-\tan x}{\sec x}\ adalah$

a)

$y'=\frac{1-\tan x}{\sec^2x}$

b)

$y'=\frac{1+\tan x}{\sec^2x}$

c)

$y'=\frac{1+\tan x}{\sec x}$

d)

$y'=-\frac{1+\tan x}{\sec\ x}$

10.

$Jika\ f\left(x\right)=\sin x\cos x-\sec x,\ maka\ nilai\ f'\left(\frac{\pi}{4}\right)$

a)

$-1-\sqrt[]{2}$

b)

$-\sqrt[]{2}$

c)

$1-\sqrt[]{2}$

d)

$\sqrt[]{2}$

11.

$Jika\ f\left(x\right)=-3\cos2x,\ maka\ nilai\ f'\left(x\right)\ adalah$

a)

$6\sin2x$

b)

$3\sin2x$

c)

$-3\sin2x$

d)

$-6\sin2x$

12.

$Turunan\ pertama\ fungsi\ f\left(x\right)=\sec\left(3x+2\right)adalah$

a)

$f'\left(x\right)=\frac{1}{3}\sec\left(3x+2\right)\tan\left(3x+2\right)$

b)

$f'\left(x\right)=\sec\left(3x+2\right)\tan\left(3x+2\right)$

c)

$f'\left(x\right)=3\sec\left(3x+2\right)\tan\left(3x+2\right)$

d)

$f'\left(x\right)=-2\sec\left(3x+2\right)\tan\left(3x+2\right)$

13.

$Nilai\ turunan\ pertama\ fungsi\ f\left(x\right)=\sin3x+\tan2x,\ maka\ hitung\ x=\frac{\pi}{6}$

a)

$8$

b)

$6$

c)

$4$

d)

$\frac{1}{2}$

14.

$f\left(x\right)=\sin^2x+\cos3x,\ maka\ nilai\ f'\left(x\right)$

a)

$2\sin x\cos x+3\sin3x$

b)

$2\sin x\cos x-3\sin3x$

c)

$-2\sin x\cos x+3\sin3x$

d)

$\sin x\cos x+2\sin3x$

15.

$Turunan\ pertama\ y=5x^2\sin4x\ adalah$

a)

$10x\sin4x+20x^2\cos4x$

b)

$5x\sin4x+20x^2\cos4x$

c)

$-10x\sin4x-20x^2\cos4x$

d)

$10x\sin4x-20x^2\cos4x$

TURUNAN FUNGSI TRIGONOMETRI

Total questions: 15

Worksheet time: 7mins

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