Iklan

Pertanyaan

Untuk 0 ≤ x ≤ π . Jika f ( x ) = ∫ ( tan x sin x − 2 cos x 1 ​ ) d x , maka f(x) naik pada interval...

Untuk  . Jika  , maka f(x) naik pada interval...

  1. begin mathsize 12px style open curly brackets x vertical line straight pi over 4 less or equal than x less or equal than straight pi over 3 close curly brackets union open curly brackets x vertical line straight pi over 2 less or equal than x less or equal than straight pi close curly brackets end style 

  2. Error converting from MathML to accessible text.   

  3. Error converting from MathML to accessible text. 

  4. begin mathsize 12px style open curly brackets x vertical line straight pi over 4 less or equal than x less than straight pi over 3 close curly brackets union open curly brackets x vertical line straight pi over 2 less than x less than straight pi close curly brackets end style  

  5. Error converting from MathML to accessible text.  

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

00

:

09

:

54

:

37

Klaim

Iklan

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa f(x) naik jika f(x) > 0 Kemudian karena maka maka Sehingga daerah hasil harus memenuhi Kasus - 1 didapat daerah irisan adalah Kasus - 2 didapat daerah irisan adalah

Perhatikan bahwa f(x) naik jika f(x) > 0

Kemudian karena begin mathsize 12px style f open parentheses x close parentheses equals integral open parentheses tan space x space sin space x minus fraction numerator 1 over denominator 2 space cos space x end fraction close parentheses d x end style makabegin mathsize 12px style f apostrophe open parentheses x close parentheses equals tan space x space sin space x minus fraction numerator 1 over denominator 2 space cos space x apostrophe end fraction end style maka

size 12px tan size 12px space size 12px x size 12px space size 12px sin size 12px space size 12px x size 12px minus fraction numerator size 12px 1 over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px sin size 12px space size 12px x over denominator size 12px cos size 12px space size 12px x end fraction open parentheses size 12px sin size 12px space size 12px x close parentheses size 12px minus fraction numerator size 12px 1 over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px sin to the power of size 12px 2 size 12px space size 12px x over denominator size 12px cos size 12px space size 12px x end fraction size 12px minus fraction numerator size 12px 1 over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px sin to the power of size 12px 2 size 12px space size 12px x over denominator size 12px cos size 12px space size 12px x end fraction size 12px minus fraction numerator size 12px 1 over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px 2 size 12px space size 12px sin to the power of size 12px 2 size 12px space size 12px x over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px minus fraction numerator size 12px 1 over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px 2 size 12px space size 12px sin to the power of size 12px 2 size 12px space size 12px x size 12px minus size 12px 1 over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px minus size 12px space size 12px cos size 12px space size 12px 2 size 12px x over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px greater than size 12px 0 fraction numerator size 12px cos size 12px space size 12px 2 size 12px x over denominator size 12px 2 size 12px space size 12px cos size 12px space size 12px x end fraction size 12px less than size 12px 0  

Sehingga daerah hasil harus memenuhi

Kasus - 1

begin mathsize 12px style cos space 2 x greater than 0 space dan space cos space x less than 0 0 less than 2 x less than straight pi over 2 space atau space 3 over 2 straight pi less than 2 straight x less than 2 straight pi space bold dan bold space straight pi over 2 less than straight x less than 3 over 2 straight pi 0 less than straight x less than straight pi over 4 space atau space 3 over 4 straight pi less than 2 straight x less than 2 straight pi space bold dan bold space straight pi over 2 less than straight x less than 3 over 2 straight pi end style  

didapat daerah irisan adalah begin mathsize 12px style straight pi over 2 less than x less than straight pi end style  

 

Kasus - 2

Error converting from MathML to accessible text.  

didapat daerah irisan adalah begin mathsize 12px style straight pi over 4 less than x less than fraction numerator begin display style straight pi end style over denominator begin display style 2 end style end fraction end style  

 

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

47

Iklan

Pertanyaan serupa

Fungsi f ( x ) = cos x + 3 x adalah fungsi yang…

56

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 02130930000

02130930000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia