Pertanyaan

Turunan dari f ( x ) = 2 x + 3 x + 5 adalah ....

Turunan dari $f (x) = \frac{x + 5}{2 x + 3}$ adalah ....

$begin mathsize 14px style f apostrophe open parentheses x close parentheses equals fraction numerator negative 5 over denominator 2 x plus 3 end fraction end style$
$begin mathsize 14px style f apostrophe open parentheses x close parentheses equals fraction numerator 5 over denominator 2 x plus 3 end fraction end style$
$begin mathsize 14px style f apostrophe open parentheses x close parentheses equals fraction numerator negative 6 over denominator open parentheses 2 x plus 3 close parentheses squared end fraction end style$
$begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals fraction numerator negative 7 over denominator open parentheses 2 x plus 3 close parentheses squared end fraction end style$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Apabila suatu fungsi bentuknya adalah , maka . Suatu fungsi , maka Jadi, jawaban yang tepat adalah E.

Apabila suatu fungsi bentuknya adalah begin mathsize 14px style y equals u over v end style , maka $begin mathsize 14px style y apostrophe equals fraction numerator u apostrophe times v minus u times v apostrophe over denominator v squared end fraction end style$ .

Suatu fungsi $begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator x plus 5 over denominator 2 x plus 3 end fraction end style$ , maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row u equals cell x plus 5 end cell row cell u apostrophe end cell equals 1 row v equals cell 2 x plus 3 end cell row cell v apostrophe end cell equals 2 end table end style

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses apostrophe end cell equals cell fraction numerator u apostrophe times v minus u times v apostrophe over denominator v squared end fraction end cell row blank equals cell fraction numerator 1 times open parentheses 2 x plus 3 close parentheses minus open parentheses x plus 5 close parentheses times 2 over denominator open parentheses 2 x plus 3 close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 x plus 3 minus open parentheses 2 x plus 10 close parentheses over denominator left parenthesis 2 x plus 3 right parenthesis squared end fraction end cell row blank equals cell fraction numerator up diagonal strike 2 x end strike plus 3 minus up diagonal strike 2 x end strike minus 10 over denominator left parenthesis 2 x plus 3 right parenthesis squared end fraction end cell row blank equals cell fraction numerator negative 7 over denominator left parenthesis 2 x plus 3 right parenthesis squared end fraction end cell end table end style$

Jadi, jawaban yang tepat adalah E.