Diketahui . Jika maka turunan kedua dari adalah ….

Pertanyaan

Diketahui begin mathsize 14px style straight f open parentheses straight x close parentheses equals 2 over 3 straight x cubed minus 1 half straight x squared minus 3 straight x plus 1 over 6 end style. Jika begin mathsize 14px style straight g open parentheses straight x close parentheses equals straight f open parentheses 2 straight x minus 1 close parentheses end style maka turunan kedua dari begin mathsize 14px style straight g open parentheses straight x close parentheses end style adalah ….

  1. begin mathsize 14px style 4 straight x minus 8 end style

  2. begin mathsize 14px style 4 straight x minus 10 end style

  3. begin mathsize 14px style 8 straight x minus 10 end style

  4. begin mathsize 14px style 16 straight x minus 8 end style

  5. begin mathsize 14px style 16 straight x minus 12 end style

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Jawaban

turunan kedua undefined adalahundefined.

Pembahasan

Diketahui:

undefined  

Jika undefined maka,

 

Turunan Pertama :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g left parenthesis straight x right parenthesis end cell equals cell straight f left parenthesis 2 straight x minus 1 right parenthesis end cell row cell straight g left parenthesis straight x right parenthesis end cell equals cell 2 over 3 left parenthesis 2 straight x minus 1 right parenthesis cubed minus fraction numerator 1 over denominator 2 end fraction left parenthesis 2 straight x minus 1 right parenthesis to the power of 2 end exponent minus 3 left parenthesis 2 straight x minus 1 right parenthesis plus 1 over 6 end cell row cell straight g to the power of straight apostrophe left parenthesis straight x right parenthesis end cell equals cell 3 times 2 over 3 left parenthesis 2 straight x minus 1 right parenthesis squared space left parenthesis 2 right parenthesis minus 2 times 1 half left parenthesis 2 straight x minus 1 right parenthesis to the power of 1 space left parenthesis 2 right parenthesis minus 3 left parenthesis 2 minus 0 right parenthesis plus 0 end cell row blank equals cell 4 left parenthesis 2 straight x minus 1 right parenthesis squared minus 2 left parenthesis 2 straight x minus 1 right parenthesis minus 6 end cell row blank equals cell 4 left parenthesis 2 straight x minus 1 right parenthesis squared minus 4 straight x minus 4 end cell end table end style 

 

Turunan Kedua :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g to the power of double apostrophe left parenthesis straight x right parenthesis end cell equals cell 2 times 4 left parenthesis 2 straight x minus 1 right parenthesis to the power of 1 minus 1 times 4 straight x to the power of 0 minus 0 end cell row blank equals cell 8 left parenthesis 2 straight x minus 1 right parenthesis minus 4 end cell row blank equals cell 16 straight x minus 8 minus 4 end cell row blank equals cell 16 straight x minus 12 end cell end table end style  

 

Jadi, turunan kedua undefined adalahundefined.

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