Roboguru

Pertanyaan

Tentukan turunan pertama dari begin mathsize 14px style y equals open parentheses x cubed minus 4 x plus 15 close parentheses to the power of 6 end style.

  1. undefined 

  2. undefined 

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

 Error converting from MathML to accessible text..

Pembahasan

Turunan pertama dari begin mathsize 14px style y equals open parentheses x cubed minus 4 x plus 15 close parentheses to the power of 6 end style dapat ditentukan dengan menggunakan aturan rantai.

Misalkan begin mathsize 14px style u equals x cubed minus 4 x plus 15 end style, maka begin mathsize 14px style fraction numerator d u over denominator d x end fraction equals 3 x squared minus 4 end style.

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell left parenthesis x cubed minus 4 x plus 15 right parenthesis to the power of 6 end cell row y equals cell u to the power of 6 end cell end table end style

akibatnya

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator d y over denominator d x end fraction end cell equals cell fraction numerator d y over denominator d u end fraction times fraction numerator d u over denominator d x end fraction end cell row blank equals cell 6 u to the power of 5 times open parentheses 3 x squared minus 4 close parentheses end cell row blank equals cell 6 open parentheses 3 x squared minus 4 close parentheses open parentheses x cubed minus 4 x plus 15 close parentheses to the power of 5 end cell row blank equals cell open parentheses 18 x squared minus 24 close parentheses open parentheses x cubed minus 4 x plus 15 close parentheses to the power of 5 end cell end table end style

Dengan demikian, Error converting from MathML to accessible text..

32

0.0 (0 rating)

Pertanyaan serupa

Tentukan turunan pertama fungsi berikut  b.

21

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