Pertanyaan

Jika g ( x ) adalah turunan pertama fungsi g ( x ) = 3 x + 5 2 x − 3 , rumus adalah ....

Jika $g (x)$ adalah turunan pertama fungsi $g (x) = \frac{2 x - 3}{3 x + 5}$ , rumus g apostrophe open parentheses x close parentheses adalah ....

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

Ingat sehingga,

Ingat

$table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses x close parentheses end cell equals cell fraction numerator u open parentheses x close parentheses over denominator v open parentheses x close parentheses end fraction end cell row cell g apostrophe open parentheses x close parentheses end cell equals cell fraction numerator u apostrophe open parentheses x close parentheses v open parentheses x close parentheses minus v apostrophe open parentheses x close parentheses u open parentheses x close parentheses over denominator v open parentheses x close parentheses squared end fraction end cell end table$

sehingga,

$table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses x close parentheses end cell equals cell fraction numerator 2 x minus 3 over denominator 3 x plus 5 end fraction end cell row cell g apostrophe open parentheses x close parentheses end cell equals cell fraction numerator 2 open parentheses 3 x plus 5 close parentheses minus 3 open parentheses 2 x minus 3 close parentheses over denominator open parentheses 3 x plus 5 close parentheses squared end fraction end cell row cell g apostrophe open parentheses x close parentheses end cell equals cell fraction numerator 6 x plus 10 minus 6 x plus 9 over denominator open parentheses 3 x plus 5 close parentheses squared end fraction end cell row cell g apostrophe open parentheses x close parentheses end cell equals cell 19 over open parentheses 3 x plus 5 close parentheses squared end cell end table$