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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.

Latihan Bab

Gradien Garis Singgung

Turunan Fungsi Aljabar

Aplikasi Turunan I

Aplikasi Turunan II

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