Roboguru

...

Pertanyaan

straight F left parenthesis x right parenthesis equals 4 over x cubed minus 1 over x comma space f apostrophe left parenthesis x right parenthesis equals ...

Pembahasan Soal:

Diketahui fungsi straight F left parenthesis x right parenthesis equals 4 over x squared minus 1 over x.

Turunan fungsi straight F left parenthesis x right parenthesis equals 4 over x squared minus 1 over x:

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 4 over x cubed minus 1 over x end cell row cell f left parenthesis x right parenthesis end cell equals cell 4 x to the power of negative 3 end exponent minus x to the power of negative 1 end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 4 times open parentheses negative 3 close parentheses x to the power of negative 3 minus 1 end exponent minus open parentheses negative 1 close parentheses x to the power of negative 1 minus 1 end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell negative 12 x to the power of negative 4 end exponent plus x to the power of negative 2 end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 1 over x squared minus 12 over x to the power of 4 end cell end table  

Jadi, turunan pertama fungsi straight F left parenthesis x right parenthesis equals 4 over x squared minus 1 over x adalah f apostrophe left parenthesis x right parenthesis equals 1 over x squared minus 12 over x to the power of 4.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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

Ikuti Kami

©2021 Ruangguru. All Rights Reserved