Dieketahui fungsi f(x)=(3x−2)(x+3)3. Turunan pertama dari f(x) adalah f(x)=...

Pertanyaan

Dieketahui fungsi $f\left(x\right)=\left(3x-2\right)\left(x+3\right)^3$ .
Turunan pertama dari $f\left(x\right)$ adalah $f\;\left(x\right)=...$

$open parentheses 12 x plus 15 close parentheses open parentheses x plus 3 close parentheses squared$
$open parentheses 12 x plus 12 close parentheses open parentheses x plus 3 close parentheses squared$
$open parentheses 12 x plus 9 close parentheses open parentheses x plus 3 close parentheses squared$
$open parentheses 12 x plus 6 close parentheses open parentheses x plus 3 close parentheses squared$
$open parentheses 12 x plus 3 close parentheses open parentheses x plus 3 close parentheses squared$

Pembahasan:

Dieketahui fungsi $f open parentheses x close parentheses equals open parentheses 3 x minus 2 close parentheses open parentheses x plus 3 close parentheses cubed$

Misalnya

$table attributes columnalign right center left columnspacing 0px end attributes row u equals cell 3 x minus 2 space space space rightwards double arrow u apostrophe equals 3 end cell row v equals cell open parentheses x plus 3 close parentheses cubed space rightwards double arrow v apostrophe equals 3 open parentheses x plus 3 close parentheses squared end cell end table$

Maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell u apostrophe v plus u v apostrophe end cell row blank equals cell open parentheses 3 close parentheses times open parentheses x plus 3 close parentheses cubed plus open parentheses 3 x minus 2 close parentheses times 3 open parentheses x plus 3 close parentheses squared end cell row blank equals cell 3 open parentheses x plus 3 close parentheses cubed plus open parentheses 9 x minus 6 close parentheses open parentheses x plus 3 close parentheses squared end cell row blank equals cell open parentheses x plus 3 close parentheses squared open parentheses 3 open parentheses x plus 3 close parentheses plus open parentheses 9 x minus 6 close parentheses close parentheses end cell row blank equals cell open parentheses x plus 3 close parentheses squared open parentheses 3 x plus 9 plus 9 x minus 6 close parentheses end cell row blank equals cell open parentheses x plus 3 close parentheses squared open parentheses 3 x plus 9 plus 9 x plus 6 close parentheses end cell row blank equals cell open parentheses x plus 3 close parentheses squared open parentheses 12 x plus 15 close parentheses end cell row blank equals cell open parentheses 12 x plus 15 close parentheses open parentheses x plus 3 close parentheses squared end cell end table$

Dengan demikian jawaban yang tepat adalah A.

Jawaban terverifikasi

Dijawab oleh:

L. Rante

Mahasiswa/Alumni Universitas Negeri Makassar

Terakhir diupdate 06 Oktober 2021