Iklan

Iklan

Pertanyaan

Jika f ( x ) adalah turunan pertama fungsi f ( x ) = ( 2 x − 3 ) 4 ( − x + 8 ) 5 , rumus adalah ...

Jika  adalah turunan pertama fungsi , rumus f apostrophe open parentheses x close parentheses adalah ...

Iklan

A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

turunan pertama dari adalah .

turunan pertama dari f left parenthesis x right parenthesis equals open parentheses 2 x minus 3 close parentheses to the power of 4 open parentheses negative x plus 8 close parentheses to the power of 5 adalah f apostrophe open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis negative x plus 8 right parenthesis to the power of 4 left parenthesis negative 18 x plus 79 right parenthesis end cell end table.

Iklan

Pembahasan

Ingat aturan rantai sifat turunan pada perkalian fungsi Maka, Dengan demikian, turunan pertama dari adalah .

Ingat

  • aturan rantai  y equals open parentheses a x plus b close parentheses to the power of n rightwards arrow y apostrophe equals n open parentheses a x plus b close parentheses to the power of n minus 1 end exponent times a 
  • sifat turunan pada perkalian fungsi begin mathsize 14px style y equals u times v rightwards arrow y apostrophe equals u apostrophe times v plus u times v apostrophe end style

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 left parenthesis 2 x minus 3 right parenthesis to the power of 4 left parenthesis negative x plus 8 right parenthesis to the power of 5 space space end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 4 left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis 2 right parenthesis left parenthesis negative x plus 8 right parenthesis to the power of 5 plus left parenthesis 2 x minus 3 right parenthesis to the power of 4 5 left parenthesis negative x plus 8 right parenthesis to the power of 4 left parenthesis negative 1 right parenthesis end cell row blank equals cell 8 left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis negative x plus 8 right parenthesis to the power of 5 minus 5 left parenthesis 2 x minus 3 right parenthesis to the power of 4 left parenthesis negative x plus 8 right parenthesis to the power of 4 end cell row blank equals cell left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis negative x plus 8 right parenthesis to the power of 4 left parenthesis 8 left parenthesis negative x plus 8 right parenthesis minus 5 left parenthesis 2 x minus 3 right parenthesis right parenthesis end cell row blank equals cell left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis negative x plus 8 right parenthesis to the power of 4 left parenthesis negative 8 x plus 64 minus 10 x plus 15 right parenthesis end cell row blank equals cell left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis negative x plus 8 right parenthesis to the power of 4 left parenthesis negative 18 x plus 79 right parenthesis end cell end table end style 

Dengan demikian, turunan pertama dari f left parenthesis x right parenthesis equals open parentheses 2 x minus 3 close parentheses to the power of 4 open parentheses negative x plus 8 close parentheses to the power of 5 adalah f apostrophe open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 2 x minus 3 right parenthesis cubed left parenthesis negative x plus 8 right parenthesis to the power of 4 left parenthesis negative 18 x plus 79 right parenthesis end cell end table.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

13

Nathaniella Adisha

Pembahasan lengkap banget Makasih ❤️ Ini yang aku cari! Bantu banget Mudah dimengerti

Iklan

Iklan

Pertanyaan serupa

Diketahui fungsi f ( x ) = ( 3 x 2 + 5 x − 2 ) ⋅ ( x 2 − 4 ) 5 . Tentukan turunan dari fungsi tersebut!

6

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia