Roboguru

Pertanyaan

Fungsi f left parenthesis x right parenthesis equals 2 x cubed minus 9 x squared plus 12 x plus 5 turun pada interval.....

  1. negative 1 less than x less than 2

  2. 1 less than x less than 2

  3. negative 2 less than x less than negative 1

  4. x less than 1 atau x greater than 2

  5. x less than negative 2 atau x greater than negative 1

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Pembahasan

Suatu fungsi f left parenthesis x right parenthesis,

  • Naik jika f apostrophe left parenthesis x right parenthesis greater than 0
  • Turun jika f apostrophe left parenthesis x right parenthesis less than 0

Cari dulu turunan dari f left parenthesis x right parenthesis equals 2 x cubed minus 9 x squared plus 12 x plus 5,

fraction numerator d f over denominator d x end fraction a x to the power of n equals n times a x to the power of n minus 1 end exponent

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 2 x cubed minus 9 x squared plus 12 x plus 5 end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 3 times 2 x to the power of 3 minus 1 end exponent minus 2 times 9 x to the power of 2 minus 1 end exponent plus 12 x to the power of 1 minus 1 end exponent plus 0 end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 6 x squared minus 18 x plus 12 end cell end table

Di dapat turunannya adalah Error converting from MathML to accessible text..

Fungsi turun jika f apostrophe left parenthesis x right parenthesis less than 0

table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 6 x blank squared minus 18 x plus 12 end cell row cell 6 x blank squared minus 18 x plus 12 end cell less than 0 row cell x squared minus 3 x plus 2 end cell less than 0 row cell left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end cell less than 0 row cell x minus 1 end cell equals 0 row x equals 1 row cell x minus 2 end cell equals 0 row x equals 2 end table

Maka di dapat x equals 1 dan x equals 2.

Jadi, fungsi f left parenthesis x right parenthesis equals 2 x cubed minus 9 x squared plus 12 x plus 5 turun pada interval 1 less than x less than 2.


Oleh karena itu, jawaban yang benar adalah B.

28

0.0 (0 rating)

Pertanyaan serupa

Diketahui fungsi f(x)=x2−6x+7. Inteval x ketika fungsi f(x) turun adalah ...

13

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 Ruangguru

Produk Ruangguru

Produk Lainnya

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