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OPERASI DIFFERENSIAL (TURUNAN)

Perhatikan operasi matematikaberikut :

ika ! " #$

%aka &!' " $#

ika ! " # 

%aka &!' " #*

ika ! " #+, 

%aka &!' " ----

" +,#.

ika ! " /#0 

%aka &!' " ------

" / - 0#1

  " +1#1

ika ! " #/ 

%aka &!' " -------

  " - /#0

  " 1,#0

2esimpu3an +:

ika y = axn

%aka dy/dx = n . a . xn-1

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ika ! " /#

" /#+

%aka &!' " ------

" / - + - #," /

ika ! " 4*#

" 4*#+

%aka &!' " ------" 4* - + - #,

" 4*

2esimpu3an 1

ika y = ax%aka dy/dx = 

ika ! " 0

  " 0 #,

%aka &!' " ----

" , - 0#4+

" ,

ika ! " 4..

" 4..#,

%aka &!' " ----

" 4.. - , - #4+

" ,

2esimpu3an 0ika y = c (constanta)

%aka dy/dx = a

0

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LATI5AN

+- 6 " 1#.

&!' " 7

1- ! " $'#1

  &!' " 7

0- ! " +,#0

 8 /# 9 0&!' " 7

/- A " $1 9 * 8 ++

  &A'& " 7

- ! " /#* 8 A 8 0A#1&!' " 7

  &!'&A " 7