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Pertanyaan

Turunan pertama fungsi f left parenthesis x right parenthesis equals fraction numerator 3 x minus 1 over denominator x plus 2 end fraction comma x not identical to negative 2 adalah f'(x) .Nilai f'(-1) = ...

  1. 7

  2. 8

  3. 4

  4. 2

  5. -2

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

Bentuk fungsi,

f left parenthesis x right parenthesis equals fraction numerator u open parentheses x close parentheses over denominator v open parentheses x close parentheses end fraction

Memiliki turunan pertama yang berbentuk

f apostrophe open parentheses x close parentheses equals fraction numerator u apostrophe open parentheses x close parentheses v open parentheses x close parentheses minus u open parentheses x close parentheses v apostrophe open parentheses x close parentheses over denominator v squared open parentheses x close parentheses end fraction  j i k a  f open parentheses x close parentheses equals fraction numerator 3 x minus 1 over denominator x plus 2 end fraction m a k a  u open parentheses x close parentheses equals 3 x minus 1 rightwards arrow u apostrophe open parentheses x close parentheses equals 3  v open parentheses x close parentheses equals x plus 2 rightwards arrow v apostrophe open parentheses x close parentheses equals 1  M a k a  f apostrophe open parentheses x close parentheses equals fraction numerator 3 open parentheses x plus 2 close parentheses minus 1 open parentheses 3 x minus 1 close parentheses over denominator open parentheses x plus 2 close parentheses squared end fraction  f apostrophe left parenthesis negative 1 right parenthesis equals fraction numerator 3 open parentheses negative 1 plus 2 close parentheses minus 1 open parentheses 3 open parentheses negative 1 close parentheses minus 1 close parentheses over denominator open parentheses negative 1 plus 2 close parentheses squared end fraction  f apostrophe left parenthesis negative 1 right parenthesis equals fraction numerator 3 plus 4 over denominator open parentheses 1 close parentheses squared end fraction  f apostrophe left parenthesis negative 1 right parenthesis equals 7

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