RoboguruRoboguru
SD

Turunan dari y=(2x2+4)(x+6) adalah...

Pertanyaan

Turunan dari y equals left parenthesis 2 x squared plus 4 right parenthesis left parenthesis x plus 6 right parenthesis adalah...

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Ingat kembali turunan pada perkalian dua fungsi:

table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell u apostrophe v plus u v apostrophe end cell end table

Misalkan:

table attributes columnalign right center left columnspacing 0px end attributes row y equals cell left parenthesis 2 x squared plus 4 right parenthesis left parenthesis x plus 6 right parenthesis end cell row y equals cell u times v end cell end table

Ingat konsep turunan fungsi:

table attributes columnalign right center left columnspacing 0px end attributes row u equals cell a x to the power of n rightwards arrow u apostrophe equals a times n times x to the power of n minus 1 end exponent end cell row u equals cell a rightwards arrow space u apostrophe equals 0 end cell end table  

sehingga

table attributes columnalign right center left columnspacing 0px end attributes row u equals cell left parenthesis 2 x squared plus 4 to the power of 1 right parenthesis end cell row cell u apostrophe end cell equals cell open parentheses 2 times 2 close parentheses x to the power of 2 minus 1 end exponent plus 0 end cell row cell u apostrophe end cell equals cell 4 x end cell row blank blank blank row v equals cell left parenthesis x plus 6 right parenthesis end cell row cell v apostrophe end cell equals cell open parentheses 1 times 1 close parentheses x to the power of 1 minus 1 end exponent plus 0 end cell row cell v apostrophe end cell equals 1 end table 

kemudian substitusikan:

table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell u apostrophe v plus u v apostrophe end cell row blank equals cell 4 x times left parenthesis x plus 6 right parenthesis plus left parenthesis 2 x squared plus 4 right parenthesis 1 end cell row blank equals cell 4 x squared plus 24 x plus 2 x squared plus 4 end cell row blank equals cell 6 x squared plus 24 x plus 4 end cell end table

Dengan demikian, turunan dari y equals left parenthesis 2 x squared plus 4 right parenthesis left parenthesis x plus 6 right parenthesis adalah 6 x squared plus 24 x plus 4.

 

36

0.0 (0 rating)

Pertanyaan serupa

Turunan fungsi f(x)=(x+7)(x2−5x+3) adalah f (x)=....

62

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia