Turunan fungsi f(x)=(5x−3)(2x2+1) adalah ...

Pertanyaan

Turunan fungsi begin mathsize 14px style f open parentheses x close parentheses equals open parentheses 5 x minus 3 close parentheses open parentheses 2 x squared plus 1 close parentheses end style adalah ...

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Jawaban

turunan fungsi begin mathsize 14px style f open parentheses x close parentheses equals open parentheses 5 x minus 3 close parentheses open parentheses 2 x squared plus 1 close parentheses end style adalah Error converting from MathML to accessible text..

Pembahasan

Perhatikan perhitungan berikut.

Ingat, turunan perkalian dua fungsi:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell u times v end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell u apostrophe times v plus v apostrophe times u end cell end table end style

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals open parentheses 5 x minus 3 close parentheses open parentheses 2 x squared plus 1 close parentheses end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row u equals cell 5 x minus 3 end cell row cell u apostrophe end cell equals 5 end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row v equals cell 2 x squared plus 1 end cell row cell v apostrophe end cell equals cell 4 x end cell end table end style

sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell u apostrophe times v plus v apostrophe times u end cell row blank equals cell 5 times open parentheses 2 x squared plus 1 close parentheses plus open parentheses 4 x close parentheses times open parentheses 5 x minus 3 close parentheses end cell row blank equals cell 10 x squared plus 5 plus 20 x squared minus 12 x end cell row blank equals cell 30 x squared minus 12 x plus 5 end cell end table end style

Jadi, turunan fungsi begin mathsize 14px style f open parentheses x close parentheses equals open parentheses 5 x minus 3 close parentheses open parentheses 2 x squared plus 1 close parentheses end style adalah Error converting from MathML to accessible text..

2rb+

4.3 (8 rating)

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