Pertanyaan

Turunan dari f ( x ) = ( x 2 − 2 ) ( 2 x 3 + 3 x 2 ) adalah f ( x ) = ....

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

$fraction numerator 2 x left parenthesis x cubed minus 3 x minus 3 right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction$
$fraction numerator x left parenthesis x cubed minus 3 x minus 6 right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction$
$fraction numerator 2 x left parenthesis x cubed minus 6 x minus 3 right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction$

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

maka maka Turunan dari fungsi tersebut dapat diketahui dengan

$f left parenthesis x right parenthesis equals fraction numerator left parenthesis 2 x cubed plus 3 x squared right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis end fraction$

maka

Turunan dari fungsi tersebut dapat diketahui dengan

$f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction$

$equals fraction numerator left parenthesis 6 x squared plus 6 x right parenthesis left parenthesis x squared minus 2 right parenthesis minus left parenthesis 2 x cubed plus 3 x squared right parenthesis left parenthesis 2 x right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction space$

$equals fraction numerator left parenthesis 6 x to the power of 4 minus 12 x squared plus 6 x cubed minus 12 x right parenthesis minus left parenthesis 4 x to the power of 4 plus 6 x cubed right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction$

$equals fraction numerator left parenthesis 2 x to the power of 4 minus 12 x squared minus 12 x right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction$

$equals fraction numerator 2 x left parenthesis x cubed minus 6 x minus 6 right parenthesis over denominator left parenthesis x squared minus 2 right parenthesis squared end fraction$