Diketahui . Jika maka turunan kedua dari adalah ….

Pertanyaan

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Jawaban

turunan kedua

adalah

Pembahasan

Diketahui:

Jika 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 :

Jadi, turunan kedua adalah.