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Pertanyaan

Turunan dari fungsi g ( t ) = ( t 2 + t − 1 ) tan ( 3 t + 2 ) adalah ....

Turunan dari fungsi  adalah ....

  1. begin mathsize 12px style left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis minus open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  2. begin mathsize 12px style left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis plus 3 open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  3. begin mathsize 12px style 3 left parenthesis 2 straight t plus 1 right parenthesis open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  4. begin mathsize 12px style 3 left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis plus 3 open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  5. begin mathsize 12px style 3 left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

Pembahasan

Misal dan ,maka dan . Ingat bahwa jika ,maka Jadi, jawaban yang tepat adalah B.

Misal begin mathsize 14px style straight u left parenthesis straight t right parenthesis equals straight t squared plus straight t minus 1 end style dan begin mathsize 14px style straight v left parenthesis straight t right parenthesis equals tan space left parenthesis 3 straight t plus 2 right parenthesis end style, maka begin mathsize 14px style straight u to the power of apostrophe left parenthesis straight t right parenthesis equals 2 straight t plus 1 end style dan begin mathsize 14px style straight v to the power of apostrophe left parenthesis straight t right parenthesis equals 3 space sec squared space left parenthesis 3 straight t plus 2 right parenthesis end style.

Ingat bahwa jika begin mathsize 14px style straight g left parenthesis straight t right parenthesis equals straight u left parenthesis straight t right parenthesis times straight v left parenthesis straight t right parenthesis end style, maka

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g to the power of apostrophe left parenthesis straight t right parenthesis end cell equals cell straight u to the power of apostrophe left parenthesis straight t right parenthesis times straight v left parenthesis straight t right parenthesis plus straight u left parenthesis straight t right parenthesis times straight v to the power of apostrophe left parenthesis straight t right parenthesis end cell row blank equals cell left parenthesis 2 straight t plus 1 right parenthesis times left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis plus open parentheses straight t squared plus straight t minus 1 close parentheses times open parentheses 3 sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end cell row blank equals cell left parenthesis 2 straight t plus 1 right parenthesis open parentheses tan left parenthesis 3 straight t plus 2 right parenthesis close parentheses plus 3 open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end cell end table end style 

Jadi, jawaban yang tepat adalah B.

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