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Jika , nilai adalah ....

Jika begin mathsize 14px style straight f open parentheses straight x close parentheses equals sin invisible function application open parentheses straight pi minus straight x close parentheses open parentheses sin invisible function application open parentheses negative straight x close parentheses plus cos invisible function application open parentheses straight pi plus straight x close parentheses close parentheses end style, nilai begin mathsize 14px style straight f to the power of straight apostrophe open parentheses straight x close parentheses end style adalah ....

  1. sin⁡2x – cos⁡2x

  2. sin 2x + cos 2x

  3. –sin 2x – cos 2x

  4. –sin 2x + cos 2x

  5. sin 2x cos 2x

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin invisible function application open parentheses straight pi minus straight x close parentheses end cell equals cell sin invisible function application straight x end cell row cell sin invisible function application open parentheses negative straight x close parentheses end cell equals cell negative sin invisible function application straight x end cell row cell cos invisible function application open parentheses straight pi plus straight x close parentheses end cell equals cell negative cos invisible function application straight x end cell row cell sin invisible function application 2 straight x end cell equals cell 2 sin invisible function application xcos invisible function application straight x end cell row blank blank blank end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell sin invisible function application open parentheses straight pi minus straight x close parentheses open parentheses sin invisible function application open parentheses negative straight x close parentheses plus cos invisible function application open parentheses straight pi plus straight x close parentheses close parentheses end cell row cell straight f open parentheses straight x close parentheses end cell equals cell sin invisible function application straight x open parentheses negative sin invisible function application straight x minus cos invisible function application straight x close parentheses end cell row cell straight f open parentheses straight x close parentheses end cell equals cell negative sin squared invisible function application straight x minus sin invisible function application xcos invisible function application straight x end cell row cell straight f open parentheses straight x close parentheses end cell equals cell negative sin squared invisible function application straight x minus 1 half sin invisible function application 2 straight x end cell end table end style 

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f to the power of straight apostrophe open parentheses straight x close parentheses end cell equals cell negative 2 sin invisible function application straight x times cos invisible function application straight x minus 1 half cos invisible function application 2 straight x times 2 end cell row cell straight f to the power of straight apostrophe open parentheses straight x close parentheses end cell equals cell negative sin invisible function application 2 straight x minus cos invisible function application 2 straight x end cell end table end style 

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