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Pertanyaan

Fungsi f ( x ) = sin 2 x + ( 2 x ​ ) ​ , x > 0 turun pada interval ....

Fungsi turun pada interval ....

  1. begin mathsize 14px style fraction numerator 5 straight pi over denominator 12 end fraction less than x less or equal than fraction numerator 13 straight pi over denominator 12 end fraction end style

  2. begin mathsize 14px style fraction numerator 7 straight pi over denominator 12 end fraction less than x less than fraction numerator 11 straight pi over denominator 12 end fraction end style

  3. begin mathsize 14px style straight pi over 12 less than x less or equal than fraction numerator 5 straight pi over denominator 12 end fraction end style

  4. begin mathsize 14px style fraction numerator 7 straight pi over denominator 6 end fraction less than x less or equal than fraction numerator 13 straight pi over denominator 6 end fraction end style 

  5. begin mathsize 14px style fraction numerator 7 straight pi over denominator 6 end fraction less than x less or equal than fraction numerator 11 straight pi over denominator 6 end fraction end style

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N. Putri

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah  B.

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Pembahasan

Sehingga diperoleh turun pada interval: Jadi, jawaban yang tepat adalah B.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell square root of sin squared x plus left parenthesis x over 2 right parenthesis end root comma space x greater than 0 end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator sin space 2 x space plus begin display style 1 half end style over denominator 2 square root of sin squared x plus left parenthesis x over 2 right parenthesis end root end fraction less than 0 end cell end table end style 

Sehingga diperoleh begin mathsize 14px style f left parenthesis x right parenthesis end style turun pada interval:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 2 x space plus 1 half end cell less than cell 0 space end cell row cell sin space 2 x end cell less than cell negative 1 half space end cell row cell fraction numerator 7 straight pi over denominator 6 end fraction end cell less than cell 2 x less than fraction numerator 11 straight pi over denominator 6 end fraction end cell row cell space fraction numerator 7 straight pi over denominator 12 end fraction end cell less than cell x less than fraction numerator 11 straight pi over denominator 12 end fraction end cell end table end style 

Jadi, jawaban yang tepat adalah  B.

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