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Jika begin mathsize 14px style f open parentheses x close parentheses equals 8 sin cubed invisible function application x plus 12 sin squared invisible function application x cos invisible function application 3 x plus 6 sin invisible function application x cos squared invisible function application 3 x plus cos cubed invisible function application 3 x comma end style maka begin mathsize 14px style f to the power of apostrophe open parentheses x close parentheses equals g open parentheses x close parentheses open parentheses 6 cos invisible function application x minus 9 sin invisible function application 3 x close parentheses end style, maka begin mathsize 14px style g to the power of apostrophe open parentheses pi over 4 close parentheses equals... end style  

  1. -2

  2. begin mathsize 14px style negative 3 over 2 end style  

  3. -1

  4. begin mathsize 14px style negative 1 half end style 

  5. 0

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M. Robo

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Pembahasan

Perhatikan bahwa Ingat bahwa sehingga Sehingga

Perhatikan bahwa

begin mathsize 14px style f open parentheses x close parentheses equals 8 sin cubed invisible function application x plus 12 sin squared invisible function application x cos invisible function application 3 x plus 6 sin invisible function application x cos squared invisible function application 3 x plus cos cubed invisible function application 3 x f open parentheses x close parentheses equals open parentheses 2 sin invisible function application x close parentheses cubed plus 3 open parentheses 2 sin invisible function application x close parentheses squared open parentheses cos invisible function application 3 x close parentheses plus 3 open parentheses 2 sin invisible function application x close parentheses open parentheses cos invisible function application 3 x close parentheses squared plus open parentheses cos invisible function application 3 x close parentheses cubed end style  

Ingat bahwa

begin mathsize 14px style a cubed plus 3 a squared b plus 3 a b squared plus b cubed equals open parentheses a plus b close parentheses cubed end style 

sehingga

begin mathsize 14px style f open parentheses x close parentheses equals open parentheses 2 sin invisible function application x close parentheses cubed plus 3 open parentheses 2 sin invisible function application x close parentheses squared open parentheses cos invisible function application 3 x close parentheses plus 3 open parentheses 2 sin invisible function application x close parentheses open parentheses cos invisible function application 3 x close parentheses squared plus open parentheses cos invisible function application 3 x close parentheses cubed f open parentheses x close parentheses equals open parentheses 2 sin invisible function application x plus cos invisible function application 3 x close parentheses cubed text Maka end text f to the power of apostrophe open parentheses x close parentheses equals 3 open parentheses 2 sin invisible function application x plus cos invisible function application 3 x close parentheses squared times open parentheses 2 cos invisible function application x minus 3 sin invisible function application 3 x close parentheses text Karena end text space f to the power of apostrophe open parentheses x close parentheses equals g open parentheses x close parentheses open parentheses 6 cos invisible function application x minus 9 sin invisible function application 3 x close parentheses comma space text maka end text end style     

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px g open parentheses size 14px x close parentheses open parentheses size 14px 6 size 14px cos size 14px invisible function application size 14px x size 14px minus size 14px 9 size 14px sin size 14px invisible function application size 14px 3 size 14px x close parentheses end cell size 14px equals cell size 14px 3 open parentheses size 14px 2 size 14px sin size 14px invisible function application size 14px x size 14px plus size 14px cos size 14px invisible function application size 14px 3 size 14px x close parentheses to the power of size 14px 2 size 14px times open parentheses size 14px 2 size 14px cos size 14px invisible function application size 14px x size 14px minus size 14px 3 size 14px sin size 14px invisible function application size 14px 3 size 14px x close parentheses end cell row cell size 14px g open parentheses size 14px x close parentheses open parentheses size 14px 6 size 14px cos size 14px invisible function application size 14px x size 14px minus size 14px 9 size 14px sin size 14px invisible function application size 14px 3 size 14px x close parentheses end cell size 14px equals cell open parentheses size 14px 2 size 14px sin size 14px invisible function application size 14px x size 14px plus size 14px cos size 14px invisible function application size 14px 3 size 14px x close parentheses to the power of size 14px 2 size 14px times open parentheses size 14px 6 size 14px cos size 14px invisible function application size 14px x size 14px minus size 14px 9 size 14px sin size 14px invisible function application size 14px 3 size 14px x close parentheses end cell row cell size 14px g open parentheses size 14px x close parentheses end cell size 14px equals cell open parentheses size 14px 2 size 14px sin size 14px invisible function application size 14px x size 14px plus size 14px cos size 14px invisible function application size 14px 3 size 14px x close parentheses to the power of size 14px 2 end cell end table     

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g to the power of apostrophe open parentheses x close parentheses end cell equals cell 2 open parentheses 2 sin invisible function application x plus cos invisible function application 3 x close parentheses times open parentheses 2 cos invisible function application x minus 3 sin invisible function application 3 x close parentheses end cell row cell g to the power of apostrophe open parentheses pi over 4 close parentheses end cell equals cell 2 open parentheses 2 sin invisible function application open parentheses pi over 4 close parentheses plus cos invisible function application 3 open parentheses pi over 4 close parentheses close parentheses times open parentheses 2 cos invisible function application open parentheses pi over 4 close parentheses minus 3 sin invisible function application 3 open parentheses pi over 4 close parentheses close parentheses end cell row cell g to the power of apostrophe open parentheses pi over 4 close parentheses end cell equals cell 2 open parentheses 2 open parentheses 1 half square root of 2 close parentheses plus open parentheses negative 1 half square root of 2 close parentheses close parentheses times open parentheses 2 open parentheses 1 half square root of 2 close parentheses minus 3 open parentheses 1 half square root of 2 close parentheses close parentheses end cell row cell g to the power of apostrophe open parentheses pi over 4 close parentheses end cell equals cell 2 open parentheses 1 half square root of 2 close parentheses times open parentheses negative 1 half square root of 2 close parentheses end cell row cell g to the power of apostrophe open parentheses pi over 4 close parentheses end cell equals cell negative 1 end cell end table end style        

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