Pertanyaan

Tentukan turunan dari fungsi trigonometri berikut: f ( x ) = sin ( 2 x 2 + x ) ...

Tentukan turunan dari fungsi trigonometri berikut: $f (x) = sin (2 x^{2} + x)$ ...

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Jawaban terverifikasi

Jawaban

turunan dari fungsi trigonometri adalah

turunan dari fungsi trigonometri f open parentheses x close parentheses equals sin open parentheses 2 x squared plus x close parentheses

adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 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 blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 2 x squared plus x close parentheses 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 cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 2 x squared plus x close parentheses end cell end table

Pembahasan

Misalkan Sehingga, Jadi, turunan dari fungsi trigonometri adalah

Misalkan

y equals f left parenthesis x right parenthesis equals sin space left parenthesis 2 x squared plus x right parenthesis z equals 2 x squared plus x y equals sin space z

Sehingga,

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell sin open parentheses 2 x squared plus x close parentheses end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator straight d y over denominator straight d x end fraction end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator straight d y over denominator straight d z end fraction times fraction numerator straight d z over denominator straight d x end fraction end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator straight d left parenthesis sin space z right parenthesis over denominator straight d z end fraction times fraction numerator straight d left parenthesis 2 x squared plus x right parenthesis over denominator straight d x end fraction end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell cos space z times left parenthesis 4 x plus 1 right parenthesis end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell cos space left parenthesis 2 x squared plus x right parenthesis times left parenthesis 4 x plus 1 right parenthesis end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 4 x cos space left parenthesis 2 x squared plus x right parenthesis plus cos space left parenthesis 2 x squared plus x right parenthesis end cell end table$

Jadi, turunan dari fungsi trigonometri f open parentheses x close parentheses equals sin open parentheses 2 x squared plus x close parentheses adalah