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Diketahui fungsi . Turunan pertama dari  adalah

Diketahui fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals left parenthesis 100 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 end style. Turunan pertama dari begin mathsize 14px style f left parenthesis x right parenthesis end style adalah begin mathsize 14px style f ’ left parenthesis x right parenthesis equals horizontal ellipsis end style 

  1. begin mathsize 14px style 100 left parenthesis x plus 3 right parenthesis to the power of 4 plus left parenthesis 100 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis cubed end style 

  2. begin mathsize 14px style 100 left parenthesis x plus 3 right parenthesis to the power of 4 plus left parenthesis 400 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis cubed end style 

  3. begin mathsize 14px style 100 left parenthesis x plus 3 right parenthesis to the power of 4 plus left parenthesis 800 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis cubed end style 

  4. begin mathsize 14px style 400 left parenthesis x plus 3 right parenthesis cubed plus left parenthesis 400 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 end style 

  5. begin mathsize 14px style 400 left parenthesis x plus 3 right parenthesis cubed plus left parenthesis 800 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 end style 

Jawaban:

Diketahui fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals left parenthesis 100 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 end style merupakan bentuk begin mathsize 14px style f left parenthesis x right parenthesis equals u. v end style. Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell left parenthesis 100 x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 end cell row cell space f apostrophe left parenthesis x right parenthesis end cell equals cell left parenthesis 100 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 plus 4 left parenthesis x plus 3 right parenthesis cubed left parenthesis 100 x minus 2 right parenthesis end cell row cell space f apostrophe left parenthesis x right parenthesis end cell equals cell left parenthesis 100 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 plus left parenthesis 400 x minus 8 right parenthesis left parenthesis x plus 3 right parenthesis cubed end cell end table end style

Jadi, Turunan pertama dari begin mathsize 14px style f left parenthesis x right parenthesis end style adalah begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals left parenthesis 100 right parenthesis left parenthesis x plus 3 right parenthesis to the power of 4 plus left parenthesis 400 x minus 8 right parenthesis left parenthesis x plus 3 right parenthesis cubed end style

Jadi, tidak ada jawaban yang tepat. jawaban yang benar adalah undefined 

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