Tentukan turunan fungsi f(x)=axn dengan turunan pertama f (x)=anxn−1. f(x)=x46​

Pertanyaan

Tentukan turunan fungsi begin mathsize 14px style f left parenthesis x right parenthesis end stylebegin mathsize 14px style equals a x to the power of n end style dengan turunan pertama begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals a n x to the power of n minus 1 end exponent end style.

begin mathsize 14px style f left parenthesis x right parenthesis equals 6 over x to the power of 4 end style

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Jawaban

turunan pertama begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals a n x to the power of n minus 1 end exponent end style dari fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals 6 over x to the power of 4 end style adalah begin mathsize 14px style negative 24 over x to the power of 5 end style.

Pembahasan

Ingat bahwa, begin mathsize 14px style a over x to the power of b equals a x to the power of negative b end exponent end style

Coba perhatikan hasil turunan pertama suatu fungsi aljabar begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals a n x to the power of n minus 1 end exponent end style, pada begin mathsize 14px style f left parenthesis x right parenthesis equals 6 over x to the power of 4 end style dapat ditentukan bahwa begin mathsize 14px style a equals 6 space dan space n equals negative 4 end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis x right parenthesis end cell equals cell left parenthesis negative 4 right parenthesis 6 x to the power of negative 4 minus 1 end exponent end cell row blank equals cell negative 24 x to the power of negative 5 end exponent end cell row blank equals cell negative 24 over x to the power of 5 end cell end table end style

Jadi, turunan pertama begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals a n x to the power of n minus 1 end exponent end style dari fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals 6 over x to the power of 4 end style adalah begin mathsize 14px style negative 24 over x to the power of 5 end style.

64

0.0 (0 rating)

Pertanyaan serupa

Jika f(x)=10x7, hasil dari f (x)+f (x)=....

555

1.0

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

Produk Lainnya

Fitur Roboguru

Topik Roboguru

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