Pertanyaan

Diketahui fungsi dan f'(x) merupakan turunan pertama dari f(x). Hasil dari f'(x) = .....

Diketahui fungsi $f open parentheses x close parentheses equals fraction numerator 2 x minus 5 over denominator 3 x plus 1 end fraction comma space x not equal to negative 1 third$ dan f'(x) merupakan turunan pertama dari f(x). Hasil dari f'(x) = .....

$fraction numerator 12 x plus 17 over denominator open parentheses 3 x plus 1 close parentheses squared end fraction comma x not equal to negative 1 third$
$fraction numerator negative 13 over denominator open parentheses 3 x plus 1 close parentheses squared end fraction comma x not equal to negative 1 third$
$fraction numerator 12 x minus 13 over denominator open parentheses 3 x plus 1 close parentheses squared end fraction comma x not equal to negative 1 third$
$fraction numerator 12 x plus 13 over denominator open parentheses 3 x plus 1 close parentheses squared end fraction comma x not equal to negative 1 third$

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

$I n g a t space r u m u s f open parentheses x close parentheses equals u over v M a k a f to the power of apostrophe open parentheses x close parentheses equals fraction numerator u to the power of apostrophe v minus u v apostrophe over denominator v squared end fraction J a d i f open parentheses x close parentheses equals fraction numerator 2 x minus 5 over denominator 3 x plus 1 end fraction f to the power of apostrophe open parentheses x close parentheses equals fraction numerator 2 open parentheses 3 x plus 1 close parentheses minus open parentheses 2 x minus 5 close parentheses 3 over denominator open parentheses 3 x plus 1 close parentheses squared end fraction f to the power of apostrophe open parentheses x close parentheses equals fraction numerator 6 x plus 2 minus 6 x plus 15 over denominator open parentheses 3 x plus 1 close parentheses squared end fraction f to the power of apostrophe open parentheses x close parentheses equals 17 over open parentheses 3 x plus 1 close parentheses squared$