Pertanyaan

Turunan pertama fungsi g ( x ) = x + 2 3 x − 1 adalah ....

Turunan pertama fungsi $g (x) = \frac{3 x - 1}{x + 2}$ adalah ....

A. Acfreelance

Master Teacher

Mahasiswa/Alumni UIN Walisongo Semarang

Jawaban terverifikasi

Jawaban

hasil turunan pertama dari

hasil turunan pertama dari $table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x minus 1 over denominator straight x plus 2 end fraction end cell row blank equals cell fraction numerator 5 over denominator straight x squared plus 4 straight x plus 4 end fraction end cell end table$

Pembahasan

Dimisalkan terlebih dahulu Turunan pertama Jadi hasil turunan pertama dari

Dimisalkan terlebih dahulu

table attributes columnalign right center left columnspacing 0px end attributes row straight u equals cell 3 straight x minus 1 end cell row cell straight u apostrophe end cell equals 3 row straight v equals cell straight x plus 2 end cell row cell straight v apostrophe end cell equals 1 end table

Turunan pertama

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x minus 1 over denominator straight x plus 2 end fraction end cell row cell straight g apostrophe left parenthesis straight x right parenthesis end cell equals cell fraction numerator straight u apostrophe straight v minus uv apostrophe over denominator straight v squared end fraction end cell row blank equals cell fraction numerator 3 open parentheses straight x plus 2 close parentheses minus open parentheses 3 straight x minus 1 close parentheses 1 over denominator open parentheses straight x plus 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 3 straight x plus 6 minus 3 straight x minus 1 over denominator open parentheses straight x plus 2 close parentheses open parentheses straight x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 5 over denominator straight x squared plus 2 straight x plus 2 straight x plus 4 end fraction end cell row blank equals cell fraction numerator 5 over denominator straight x squared plus 4 straight x plus 4 end fraction end cell end table$

Jadi hasil turunan pertama dari $table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x minus 1 over denominator straight x plus 2 end fraction end cell row blank equals cell fraction numerator 5 over denominator straight x squared plus 4 straight x plus 4 end fraction end cell end table$