1 operasi differensial (turunan)_b
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8/17/2019 1 Operasi Differensial (Turunan)_b
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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
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