Pertanyaan

Turunan pertama dari f ( x ) = 4 2 x 3 − 3 adalah ...

Turunan pertama dari $f (x) = 4 2 x^{3} - 3$ adalah ...

$begin mathsize 14px style fraction numerator 4 over denominator x squared square root of 2 x cubed minus 3 end root end fraction end style$
$fraction numerator size 14px 12 over denominator size 14px x to the power of size 14px 2 square root of size 14px 2 size 14px x to the power of size 14px 3 size 14px minus size 14px 3 end root end fraction$
$begin mathsize 14px style fraction numerator 6 x over denominator square root of 2 x cubed minus 3 end root end fraction end style$
$fraction numerator size 14px 12 size 14px x to the power of size 14px 2 over denominator square root of size 14px 2 size 14px x to the power of size 14px 3 size 14px minus size 14px 3 end root end fraction$
$fraction numerator size 14px 24 size 14px x to the power of size 14px 2 over denominator square root of size 14px 2 size 14px x to the power of size 14px 3 size 14px minus size 14px 3 end root end fraction$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Termasuk aturan rantai, maka: Jadi, jawaban yang tepat adalah D

Termasuk aturan rantai, maka:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 4 square root of 2 x cubed minus 3 end root end cell row cell f left parenthesis x right parenthesis end cell equals cell 4 open parentheses 2 x cubed minus 3 close parentheses to the power of negative 1 half end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 2 open parentheses 2 x cubed minus 3 close parentheses to the power of negative 1 half end exponent open parentheses 6 x squared close parentheses end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell open parentheses 12 x squared close parentheses cross times 1 over open parentheses 2 x cubed minus 3 close parentheses to the power of begin display style 1 half end style end exponent end cell row blank blank cell f apostrophe left parenthesis x right parenthesis equals fraction numerator 12 x squared over denominator square root of 2 x cubed minus 3 end root end fraction end cell end table end style$

Jadi, jawaban yang tepat adalah D