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Pertanyaan

Diketahui fungsi suatu turunan dirumuskan dengan f ( x ) = 4 x 2 − 2 x + 12 . Jika f(3) = 36 maka fungsi f(x) =....

Diketahui fungsi suatu turunan dirumuskan dengan . Jika f(3) = 36 maka fungsi f(x) =....

  1. 4 over 3 x cubed minus x squared plus 12 x plus 18

  2. 4 over 3 x cubed minus x squared plus 12 x plus 27

  3. 4 over 3 x cubed minus x squared plus 12 x plus 36

  4. 4 over 3 x cubed minus x squared plus 12 x plus 48

  5. 4 over 3 x cubed minus x squared plus 12 x plus 54

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

f apostrophe left parenthesis x right parenthesis equals 4 x squared minus 2 x plus 12 M a k a space f left parenthesis x right parenthesis equals integral f apostrophe left parenthesis x right parenthesis f left parenthesis x right parenthesis equals integral f apostrophe left parenthesis x right parenthesis space d x equals integral left parenthesis 4 x squared minus 2 x plus 12 right parenthesis space d x equals fraction numerator 4 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 2 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus fraction numerator 12 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent plus C equals 4 over 3 x cubed minus x squared plus 12 x plus C U n t u k space f left parenthesis 3 right parenthesis equals 36 f left parenthesis 3 right parenthesis equals 4 over 3 x cubed minus x squared plus 12 x plus C 36 equals 4 over 3 open parentheses 3 close parentheses cubed minus open parentheses 3 close parentheses squared plus 12 open parentheses 3 close parentheses plus C 36 equals open parentheses 9 close parentheses minus 9 plus 36 plus C 36 equals 63 plus C C equals 27 S e h i n g g a space f u n g s i space f left parenthesis x right parenthesis equals 4 over 3 x cubed minus x squared plus 12 x plus 27

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