Iklan

Iklan

Pertanyaan

Jika f ( x ) = x 3 + 3 x 2 + 4 x + 5 x 2 + 4 x + 5 ​ , tentukan nilai dari f ( x ) ?

Jika , tentukan nilai dari ?

Iklan

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Iklan

Pembahasan

Diketahui. Ingat bahwa maka Oleh karena itu, turunan pertama dari adalah .

Diketahui . Ingat bahwa 

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell u over v rightwards arrow f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction end cell end table

maka

table attributes columnalign right center left columnspacing 0px end attributes row U equals cell x squared plus 4 x plus 5 end cell row cell U apostrophe end cell equals cell 2 x plus 4 end cell row V equals cell x cubed plus 3 x squared plus 4 x plus 5 end cell row cell V apostrophe end cell equals cell 3 x squared plus 6 x plus 4 end cell row cell U apostrophe V end cell equals cell 2 x to the power of 4 plus 10 x cubed plus 20 x squared plus 26 x plus 20 end cell row cell U V apostrophe end cell equals cell 3 x to the power of 4 plus 18 x cubed plus 43 x squared plus 46 x plus 20 end cell row cell U apostrophe V minus U V apostrophe end cell equals cell negative x to the power of 4 minus 8 x cubed minus 23 x squared minus 20 x end cell row cell V squared end cell equals cell x to the power of 6 plus 6 x to the power of 5 plus 17 x to the power of 4 plus 34 x cubed plus 46 x squared plus 40 x plus 25 end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator U apostrophe V minus U V apostrophe over denominator V squared end fraction end cell row blank equals cell fraction numerator negative x to the power of 4 minus 8 x cubed minus 23 x squared minus 20 x over denominator x to the power of 6 plus 6 x to the power of 5 plus 17 x to the power of 4 plus 34 x cubed plus 46 x squared plus 40 x plus 25 end fraction end cell end table

Oleh karena itu, turunan pertama dari f left parenthesis x right parenthesis equals fraction numerator x squared plus 4 x plus 5 over denominator x cubed plus 3 x squared plus 4 x plus 5 end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator negative x to the power of 4 minus 8 x cubed minus 23 x squared minus 20 x over denominator x to the power of 6 plus 6 x to the power of 5 plus 17 x to the power of 4 plus 34 x cubed plus 46 x squared plus 40 x plus 25 end fraction end cell end table.

 

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

3

Anisa dan imput

Jawaban tidak sesuai

Iklan

Iklan

Pertanyaan serupa

Tentukan turunan pertama dari fungsi berikut. b. g ( t ) = t 3 3 t 2 − 4 t 3 + t 4 ​

1

0.0

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