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Turunan pertama dari fungsi f ( x ) = ( x 2 − 5 ) 2 − 3 x + 2 x − 15 adalah...

Turunan pertama dari fungsi $f (x) = \frac{- 3 x + 2 x - 15}{( x ^{2} - 5 ) ^{2}}$ adalah...

$f apostrophe left parenthesis x right parenthesis equals fraction numerator negative 3 x plus 2 x minus 15 over denominator open parentheses x squared minus 5 close parentheses squared end fraction$
$f apostrophe left parenthesis x right parenthesis equals fraction numerator negative 3 x plus 2 x plus 15 over denominator open parentheses x squared minus 5 close parentheses squared end fraction$
$f apostrophe left parenthesis x right parenthesis equals fraction numerator negative 3 x plus 2 x plus 15 over denominator open parentheses x squared minus 5 close parentheses squared end fraction$
$f apostrophe left parenthesis x right parenthesis equals fraction numerator 3 x plus 2 x minus 15 over denominator open parentheses x squared minus 5 close parentheses squared end fraction$
$f apostrophe left parenthesis x right parenthesis equals fraction numerator 3 x squared plus 2 x minus 15 over denominator open parentheses x squared minus 5 close parentheses squared end fraction$

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

Misal : U = 3x -1 U' = 3

$f left parenthesis x right parenthesis equals fraction numerator 3 x minus 1 over denominator x squared minus 5 end fraction$

Misal : U = 3x -1

U' = 3

$y equals U over V rightwards arrow y apostrophe equals fraction numerator U apostrophe V minus U V apostrophe over denominator V squared end fraction f apostrophe left parenthesis x right parenthesis equals fraction numerator 3 left parenthesis x squared minus 5 right parenthesis minus 2 x left parenthesis 3 x minus 1 right parenthesis over denominator left parenthesis x squared minus 5 right parenthesis squared end fraction equals space fraction numerator 3 x squared minus 15 minus 6 x squared plus 2 x over denominator left parenthesis x squared minus 5 right parenthesis squared end fraction equals fraction numerator negative 3 x squared plus 2 x minus 15 over denominator left parenthesis x squared minus 5 right parenthesis squared end fraction$

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