Pertanyaan

Diketahui f'(x) turunan pertama fungsi aljabar . Nilai f'(-3) adalah....

Diketahui f'(x) turunan pertama fungsi aljabar f open parentheses x close parentheses open parentheses 1 minus x close parentheses cubed over open parentheses 2 x plus 4 close parentheses squared semicolon x not equal to negative 2. Nilai f'(-3) adalah....

  1. 90

  2. 88

  3. 56 (2x +4)2

  4. 44

  5. 20

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Ingat bahwa :

Ingat bahwa :

f left parenthesis x right parenthesis equals u over v rightwards double arrow f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction  u equals left parenthesis 1 minus x right parenthesis cubed  u apostrophe equals negative 3 left parenthesis 1 minus x right parenthesis squared  v equals left parenthesis 2 x plus 4 right parenthesis squared  v apostrophe equals 2 left parenthesis 2 x plus 4 right parenthesis left parenthesis 2 right parenthesis equals 8 x plus 16  M a k a comma  f apostrophe left parenthesis x right parenthesis equals fraction numerator negative 3 left parenthesis 1 minus x right parenthesis squared left parenthesis 2 x plus 4 right parenthesis squared minus left parenthesis 1 minus x right parenthesis cubed left parenthesis 8 x plus 16 right parenthesis over denominator left parenthesis 2 x plus 4 right parenthesis to the power of 4 end fraction  f apostrophe left parenthesis negative 3 right parenthesis equals fraction numerator negative 3 left parenthesis 1 plus 3 right parenthesis squared left parenthesis 2 left parenthesis negative 3 right parenthesis plus 4 right parenthesis squared minus left parenthesis 1 plus 3 right parenthesis cubed left parenthesis 8 left parenthesis negative 3 right parenthesis plus 16 right parenthesis over denominator left parenthesis 2 left parenthesis negative 3 right parenthesis plus 4 right parenthesis to the power of 4 end fraction  f apostrophe left parenthesis 3 right parenthesis equals fraction numerator negative 3 left parenthesis 4 right parenthesis squared left parenthesis negative 2 right parenthesis squared minus left parenthesis 4 right parenthesis cubed left parenthesis negative 8 right parenthesis over denominator left parenthesis negative 2 right parenthesis to the power of 4 end fraction  f apostrophe left parenthesis 3 right parenthesis equals 20

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