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Turunan pertama dari fungsi f ( x ) = 3 9 x 3 adalah ....

Turunan pertama dari fungsi adalah ....

  1. begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed plus 9 end exponent space ln space 3 times straight x squared end style   

  2. begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed plus 3 end exponent space ln space 3 times straight x squared end style  

  3. begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed end exponent space ln space 3 times straight x squared end style  

  4. begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed plus 3 end exponent times straight x squared end style  

  5. begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed end exponent times straight x squared end style  

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Ingat bahwa turunan pertama dari adalah . Misalkan , maka didapat . Oleh karena itu, Jadi, jawaban yang tepat adalah B.

Ingat bahwa turunan pertama dari begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals straight a to the power of straight u left parenthesis straight x right parenthesis end exponent end style adalah begin mathsize 14px style straight f to the power of apostrophe left parenthesis straight x right parenthesis equals straight a to the power of straight u left parenthesis straight x right parenthesis end exponent space ln space straight a times straight u to the power of apostrophe left parenthesis straight x right parenthesis end style.
Misalkan begin mathsize 14px style straight u left parenthesis straight x right parenthesis equals 9 straight x cubed end style, maka didapat begin mathsize 14px style straight u to the power of apostrophe left parenthesis straight x right parenthesis equals 9 times 3 straight x squared equals 27 straight x squared end style.
Oleh karena itu,

begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed end exponent straight f left parenthesis straight x right parenthesis equals 3 to the power of straight u left parenthesis straight x right parenthesis end exponent straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of straight u left parenthesis straight x right parenthesis end exponent space ln space 3 times straight u to the power of apostrophe left parenthesis straight x right parenthesis straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed end exponent space ln space 3 times 27 straight x squared straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 27 times 3 to the power of 9 straight x cubed end exponent space ln space 3 times straight x squared straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 cubed times 3 to the power of 9 straight x cubed end exponent space ln space 3 times straight x squared straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 3 plus 9 straight x cubed end exponent space ln space 3 times straight x squared straight f to the power of apostrophe left parenthesis straight x right parenthesis equals 3 to the power of 9 straight x cubed plus 3 end exponent space ln space 3 times straight x squared end style    

Jadi, jawaban yang tepat adalah B. 

 

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