Roboguru

Pertanyaan

f open parentheses x close parentheses equals square root of 2 x squared minus 1 end root semicolon space nilai space f apostrophe open parentheses 1 close parentheses equals...

Pembahasan Soal:

Ingat jika

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell a U to the power of n end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell a times n times U to the power of n minus 1 end exponent times U apostrophe end cell end table

Diketahui

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell square root of 2 x squared minus 1 end root end cell row cell f open parentheses x close parentheses end cell equals cell open parentheses 2 x squared minus 1 close parentheses to the power of 1 half end exponent end cell row a equals 1 row n equals cell 1 half end cell row U equals cell 2 x squared minus 1 rightwards arrow U apostrophe equals 4 x end cell end table

Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell a times n times U to the power of n minus 1 end exponent times U apostrophe end cell row blank equals cell 1 times 1 half times open parentheses 2 x squared minus 1 close parentheses to the power of 1 half minus 1 end exponent times 4 x end cell row blank equals cell 2 x times open parentheses 2 x squared minus 1 close parentheses to the power of negative 1 half end exponent end cell row blank equals cell fraction numerator 2 x over denominator open parentheses 2 x squared minus 1 close parentheses to the power of begin display style 1 half end style end exponent end fraction end cell row blank equals cell fraction numerator 2 x over denominator square root of open parentheses 2 x squared minus 1 close parentheses end root end fraction end cell end table

Dengan demikian table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 x over denominator square root of open parentheses 2 x squared minus 1 close parentheses end root end fraction end cell end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

Ruangguru

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