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Fungsi  turun pada interval ....

Pertanyaan

Fungsi begin mathsize 14px style f open parentheses x close parentheses equals 2 space sin open parentheses 5 x plus 1 close parentheses end style turun pada interval ....

Pembahasan Soal:

Perhatikan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell 2 space sin space open parentheses 5 x plus 1 close parentheses end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 10 space cos space open parentheses 5 x plus 1 close parentheses end cell row 0 equals cell 10 space cos space open parentheses 5 x plus 1 close parentheses end cell row 0 equals cell cos space left parenthesis 5 x plus 1 right parenthesis end cell row cell cos space 90 degree end cell equals cell cos space open parentheses 5 x plus 1 close parentheses end cell row cell 90 degree plus k times 360 degree end cell equals cell 5 x plus 1 end cell row cell negative 1 fifth plus 18 degree plus fraction numerator 360 degree over denominator 5 end fraction k end cell equals x row cell negative 1 fifth plus straight pi over 10 plus fraction numerator 2 straight pi over denominator 5 end fraction k end cell equals x row cell negative 90 degree plus k times 360 degree end cell equals cell 5 x plus 1 end cell row cell 270 degree plus k times 360 degree end cell equals cell 5 x plus 1 end cell row cell negative 1 fifth plus fraction numerator 3 straight pi over denominator 10 end fraction plus fraction numerator 2 straight pi over denominator 5 end fraction k end cell equals x end table end style

Oleh karena itu, fungsi begin mathsize 14px style f open parentheses x close parentheses equals 2 space sin open parentheses 5 x plus 1 close parentheses end style turun pada interval begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 fifth end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell straight pi over 10 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 straight pi over denominator 5 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 fifth end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 straight pi over denominator 10 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 straight pi over denominator 5 end fraction end cell end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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