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Jika y=x(x2+1)3 maka turunan pertama dari y=…

Pertanyaan

Jika y equals x left parenthesis x squared plus 1 right parenthesis cubed maka turunan pertama dari y equals horizontal ellipsis 

  1. left parenthesis x squared plus 1 right parenthesis squared left parenthesis 7 x to the power of 2 end exponent plus 1 right parenthesis 

  2. left parenthesis x squared plus 1 right parenthesis squared left parenthesis 7 x squared minus 1 right parenthesis 

  3. left parenthesis x squared minus 1 right parenthesis squared left parenthesis 7 x squared plus 1 right parenthesis  

  4. fraction numerator left parenthesis x squared minus 1 right parenthesis squared over denominator left parenthesis 7 x squared plus 1 right parenthesis end fraction 

  5. fraction numerator left parenthesis x squared plus 1 right parenthesis squared over denominator left parenthesis 7 x squared plus 1 right parenthesis end fraction 

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Misalkan:

table row cell u equals x end cell space space cell v equals open parentheses x squared plus 1 close parentheses cubed end cell row cell u apostrophe equals 1 end cell space space cell space space space v apostrophe equals 6 x open parentheses x squared plus 1 close parentheses squared end cell end table 

Sehingga turunan pertamanya didapatkan:

table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell u apostrophe times v plus u times v apostrophe end cell row blank equals cell 1 times open parentheses x squared plus 1 close parentheses cubed plus x times 6 x open parentheses x squared plus 1 close parentheses squared end cell row blank equals cell open parentheses x squared plus 1 close parentheses cubed plus 6 x squared open parentheses x squared plus 1 close parentheses squared end cell row blank equals cell open parentheses x squared plus 1 close parentheses squared open parentheses x squared plus 1 plus 6 x squared close parentheses end cell row blank equals cell open parentheses x squared plus 1 close parentheses squared open parentheses 7 x squared plus 1 close parentheses end cell end table 

Dengan demikian, turunan pertama dari y adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x squared plus 1 close parentheses squared open parentheses 7 x squared plus 1 close parentheses end cell end table.

Jadi, jawaban yang benar adalah A.

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