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Pertanyaan

Turunan pertama dari f left parenthesis x right parenthesis equals fraction numerator 2 x plus 3 over denominator negative x plus 1 end fraction comma x not equal to 1 adalah f'(x), maka nilai f'(2) = ........

  1. 7

  2. 5

  3. 1

  4. -2

  5. -5

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards double arrow f apostrophe left parenthesis x right parenthesis equals fraction numerator a d minus b c over denominator left parenthesis c x plus d right parenthesis squared end fraction  f left parenthesis x right parenthesis equals fraction numerator 2 x plus 3 over denominator negative x plus 1 end fraction  f apostrophe left parenthesis x right parenthesis equals fraction numerator 2 left parenthesis 1 right parenthesis minus left parenthesis 3 right parenthesis left parenthesis negative 1 right parenthesis over denominator left parenthesis negative x plus 1 right parenthesis squared end fraction  f apostrophe left parenthesis x right parenthesis equals fraction numerator 5 over denominator left parenthesis negative x plus 1 right parenthesis squared end fraction  f apostrophe left parenthesis 2 right parenthesis equals fraction numerator 5 over denominator left parenthesis negative 2 plus 1 right parenthesis squared end fraction  f apostrophe left parenthesis 2 right parenthesis equals 5

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