ITK-121KALKULUS I

3 SKS

Dicky Dermawanwww.dickydermawan.890m.com

TURUNAN FUNGSI TRIGONOMETRI

Teorema 1: atau

Teorema 2:

Teorema 3a:

Teorema 3b:

Teorema 4: dan

xxdx

dcos)(sin xx cos)(sin '

xxdx

dsincos

xxxdx

dtansec)(sec

xxxdx

dcotcsc)(csc '

xxdx

d 2' sec)(tan xxdx

d 2csc)(cot

Contoh-contoh

1.

2.

3.

4

)cossin( xxxdx

d

)2(sin xdx

d

)sec( 3 xxdx

d

x

x

dx

d csc

Soal-soal

1. 5.

2. 6.

3. 7.

4.

xx sin2

xx cos3

x

x

cos

sin1

x

x

cos

sin1

x

x

tan

sec31

xx sec3

3

csc

x

x

Soal-soal

8. 12.

9. 13.

10. 14.

11.

xx tansin

xxx cotcos2

21

cot

x

x

x

x

sec1

xxx cossin

xxx sincos

xxxxx coscos2sin2 2

15 23

16 24

17 25

18 26

19 27

20 28

21

22

xxxxxxx cos6cossin6sin3 32

x)xtan(

xxxxx sinsin2cos2 2

xxxx sin)6(cos)63( 22

xx

x

cossin

sin

xx 22 cossin

xx

x

sin

12

1

sin2

xxx

xx 2cossin

)cos)(sin( xxxx

x

x

2cos1

sin 2

xx

x

sin

cos1

xx tan

x

xx

cos

sin2