Iklan

Iklan

Pertanyaan

Turunan dari fungsi g ( t ) = ( t 2 + t − 1 ) tan ( 3 t + 2 ) adalah ....

Turunan dari fungsi  adalah ....

  1. begin mathsize 12px style left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis minus open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  2. begin mathsize 12px style left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis plus 3 open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  3. begin mathsize 12px style 3 left parenthesis 2 straight t plus 1 right parenthesis open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  4. begin mathsize 12px style 3 left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis plus 3 open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

  5. begin mathsize 12px style 3 left parenthesis 2 straight t plus 1 right parenthesis left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end style 

Iklan

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

Iklan

Pembahasan

Misal dan ,maka dan . Ingat bahwa jika ,maka Jadi, jawaban yang tepat adalah B.

Misal begin mathsize 14px style straight u left parenthesis straight t right parenthesis equals straight t squared plus straight t minus 1 end style dan begin mathsize 14px style straight v left parenthesis straight t right parenthesis equals tan space left parenthesis 3 straight t plus 2 right parenthesis end style, maka begin mathsize 14px style straight u to the power of apostrophe left parenthesis straight t right parenthesis equals 2 straight t plus 1 end style dan begin mathsize 14px style straight v to the power of apostrophe left parenthesis straight t right parenthesis equals 3 space sec squared space left parenthesis 3 straight t plus 2 right parenthesis end style.

Ingat bahwa jika begin mathsize 14px style straight g left parenthesis straight t right parenthesis equals straight u left parenthesis straight t right parenthesis times straight v left parenthesis straight t right parenthesis end style, maka

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g to the power of apostrophe left parenthesis straight t right parenthesis end cell equals cell straight u to the power of apostrophe left parenthesis straight t right parenthesis times straight v left parenthesis straight t right parenthesis plus straight u left parenthesis straight t right parenthesis times straight v to the power of apostrophe left parenthesis straight t right parenthesis end cell row blank equals cell left parenthesis 2 straight t plus 1 right parenthesis times left parenthesis tan left parenthesis 3 straight t plus 2 right parenthesis right parenthesis plus open parentheses straight t squared plus straight t minus 1 close parentheses times open parentheses 3 sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end cell row blank equals cell left parenthesis 2 straight t plus 1 right parenthesis open parentheses tan left parenthesis 3 straight t plus 2 right parenthesis close parentheses plus 3 open parentheses straight t squared plus straight t minus 1 close parentheses open parentheses sec squared left parenthesis 3 straight t plus 2 right parenthesis close parentheses end cell end table end style 

Jadi, jawaban yang tepat adalah B.

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

101

Iklan

Iklan

Pertanyaan serupa

Jika f ( t ) = sec 2 t ,maka f ( 3 π ​ ) = ....

1

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