Turunan pertama f(x)=x2−1x3���4x−5​ adalah f (x). Nilai f (0)+f (3)−f(2)=…

Pertanyaan

Turunan pertama begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x cubed minus 4 x minus 5 over denominator x squared minus 1 end fraction end style adalah begin mathsize 14px style f apostrophe open parentheses x close parentheses end style. Nilai begin mathsize 14px style f apostrophe open parentheses 0 close parentheses plus f apostrophe open parentheses 3 close parentheses minus f open parentheses 2 close parentheses equals horizontal ellipsis end style 

  1. 1space 

  2. 2space 

  3. 3space 

  4. 6space 

  5. 8space 

R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat.

Pembahasan

 begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x cubed minus 4 x minus 5 over denominator x squared minus 1 end fraction end style berbentuk begin mathsize 14px style f open parentheses x close parentheses equals u over v end style, maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row u equals cell x cubed minus 4 x minus 5 rightwards arrow u apostrophe equals 3 x squared minus 4 end cell row v equals cell x squared minus 1 space space space space space space space rightwards arrow v apostrophe equals 2 x end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator u apostrophe times v plus u times v apostrophe over denominator v squared end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator open parentheses 3 x squared minus 4 close parentheses open parentheses x squared minus 1 close parentheses plus open parentheses x cubed minus 4 x minus 5 close parentheses open parentheses 2 x close parentheses over denominator open parentheses x squared minus 1 close parentheses squared end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x to the power of 4 minus 3 x squared minus 4 x squared plus 4 plus 2 x to the power of 4 minus 8 x squared minus 10 x over denominator open parentheses x squared minus 1 close parentheses squared end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator 5 x to the power of 4 minus 15 x squared minus 10 x plus 4 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end cell end table end style 

Sehingga,

begin mathsize 14px style f apostrophe open parentheses 0 close parentheses equals fraction numerator 5 times 0 to the power of 4 minus 15 times 0 squared minus 10 times 0 plus 4 over denominator open parentheses 0 squared minus 1 close parentheses squared end fraction equals 4 over 1 equals 4 end style 

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell fraction numerator 5 times 3 to the power of 4 minus 15 times 3 squared minus 10 times 3 plus 4 over denominator blank end fraction end cell row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell fraction numerator 405 minus 135 minus 30 plus 4 over denominator 64 end fraction end cell row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell 244 over 64 end cell row cell f apostrophe left parenthesis 3 right parenthesis end cell equals cell 61 over 16 end cell end table end style

begin mathsize 14px style f open parentheses 2 close parentheses equals fraction numerator 2 cubed minus 4 times 2 minus 5 over denominator 2 squared minus 1 end fraction f open parentheses 2 close parentheses equals fraction numerator 8 minus 8 minus 5 over denominator 4 minus 1 end fraction f open parentheses 2 close parentheses equals negative 5 over 3 end style 

Nilai begin mathsize 14px style f apostrophe left parenthesis 0 right parenthesis plus f apostrophe left parenthesis 3 right parenthesis minus f left parenthesis 2 right parenthesis end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis 0 right parenthesis plus f apostrophe left parenthesis 3 right parenthesis minus f left parenthesis 2 right parenthesis end cell equals cell 4 plus 61 over 16 minus open parentheses negative 5 over 3 close parentheses end cell row blank equals cell 192 over 48 plus 183 over 48 plus 80 over 48 end cell row blank equals cell 455 over 48 end cell row blank blank blank end table end style 

Jadi, tidak ada jawaban yang tepat.

Pertanyaan serupa

Diketahui  f(x)=x+32x−1​;x=−3  Turunan pertama fungsi f(x) adalah f (x). Nilai f (2).

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

Fitur Roboguru

Topik Roboguru

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