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Jika f ( u) = cos u dan u = 3 x 3 − 2 x 2 + x − 1 , maka d x df ​ = ...

Jika f(u) = cos u dan maka      

  1. begin mathsize 14px style cos invisible function application open parentheses 9 x squared minus 4 x plus 1 close parentheses sin invisible function application open parentheses 3 x cubed minus 2 x squared plus x minus 1 close parentheses end style 

  2. size 14px minus open parentheses size 14px 9 size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 1 close parentheses size 14px cos size 14px invisible function application open parentheses size 14px 3 size 14px x to the power of size 14px 3 size 14px minus size 14px 2 size 14px x to the power of size 14px 2 size 14px plus size 14px x size 14px minus size 14px 1 close parentheses  

  3. open parentheses size 14px 9 size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 1 close parentheses size 14px cos size 14px invisible function application open parentheses size 14px 3 size 14px x to the power of size 14px 3 size 14px minus size 14px 2 size 14px x to the power of size 14px 2 size 14px plus size 14px x size 14px minus size 14px 1 close parentheses  

  4. size 14px minus open parentheses size 14px 9 size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 1 close parentheses size 14px sin size 14px invisible function application open parentheses size 14px 3 size 14px x to the power of size 14px 3 size 14px minus size 14px 2 size 14px x to the power of size 14px 2 size 14px plus size 14px x size 14px minus size 14px 1 close parentheses   

  5. open parentheses size 14px 9 size 14px x to the power of size 14px 2 size 14px minus size 14px 4 size 14px x size 14px plus size 14px 1 close parentheses size 14px sin size 14px invisible function application open parentheses size 14px 3 size 14px x to the power of size 14px 3 size 14px minus size 14px 2 size 14px x to the power of size 14px 2 size 14px plus size 14px x size 14px minus size 14px 1 close parentheses       

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begin mathsize 14px style f open parentheses u close parentheses equals cos invisible function application u f open parentheses x close parentheses equals cos invisible function application open parentheses 3 x cubed minus 2 x squared plus x minus 1 close parentheses end style   

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator d f over denominator d x end fraction end cell equals cell negative sin invisible function application open parentheses 3 x cubed minus 2 x squared plus x minus 1 close parentheses times open parentheses 9 x squared minus 4 x plus 1 close parentheses end cell row blank equals cell negative open parentheses 9 x squared minus 4 x plus 1 close parentheses sin invisible function application open parentheses 3 x cubed minus 2 x squared plus x minus 1 close parentheses end cell end table end style    

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