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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.

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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