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Pertanyaan

Turunan dari fungsi f ( x ) = cos 3 ( 3 x 2 − 2 x + 4 ) ​ adalah ....

Turunan dari fungsi  adalah ....

  1. begin mathsize 14px style negative left parenthesis 9 straight x minus 3 right parenthesis sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis square root of cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis end root end style  

  2. begin mathsize 14px style left parenthesis 9 straight x minus 3 right parenthesis cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis square root of sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis end root end style  

  3. begin mathsize 14px style negative left parenthesis 9 x minus 3 right parenthesis square root of cos invisible function application left parenthesis 3 x squared minus 2 x plus 4 right parenthesis end root end style 

  4. begin mathsize 14px style left parenthesis 6 x minus 2 right parenthesis square root of sin invisible function application left parenthesis 3 x squared minus 2 x plus 4 right parenthesis end root end style 

  5. begin mathsize 14px style negative left parenthesis 6 straight x minus 2 right parenthesis sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis square root of cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis end root end style  

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

jawaban yang tepat adalah A.

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Pembahasan

Perhatikan bahwa Sehingga turunannya adalah Jadi, jawaban yang tepat adalah A.

Perhatikan bahwa

begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals square root of cos cubed invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis end root straight f left parenthesis straight x right parenthesis equals left parenthesis cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis right parenthesis to the power of 3 over 2 end exponent end style  

 

Sehingga turunannya adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f to the power of apostrophe left parenthesis straight x right parenthesis end cell equals cell 3 over 2 left parenthesis cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis right parenthesis to the power of 1 half end exponent left parenthesis negative sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis right parenthesis left parenthesis 6 straight x minus 2 right parenthesis end cell row blank equals cell negative 3 over 2 times 2 left parenthesis 3 straight x minus 1 right parenthesis square root of left parenthesis cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis right parenthesis end root space sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis end cell row blank equals cell negative 3 left parenthesis 3 straight x minus 1 right parenthesis square root of left parenthesis cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis right parenthesis end root space sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis end cell row blank equals cell negative left parenthesis 9 straight x minus 3 right parenthesis sin invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis square root of left parenthesis cos invisible function application left parenthesis 3 straight x squared minus 2 straight x plus 4 right parenthesis right parenthesis end root end cell end table end style 

Jadi, jawaban yang tepat adalah A.

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