Pertanyaan

Carilah setiap turunan fungsi berikut g ( x ) = 3 x 2 5 − x 4 2 + 9 x 3

Carilah setiap turunan fungsi berikut

$g (x) = \frac{5}{3 x ^{2}} - \frac{2}{x ^{4}} + \frac{x ^{3}}{9}$

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 5 over denominator 3 x squared end fraction minus 2 over x to the power of 4 plus x cubed over 9 equals 5 over 3 x to the power of negative 2 end exponent minus 2 x to the power of negative 4 end exponent plus 1 over 9 x to the power of negative 3 end exponent g apostrophe open parentheses x close parentheses equals negative 10 over 3 x to the power of negative 3 end exponent plus 8 x to the power of negative 5 end exponent minus 1 third x to the power of negative 4 end exponent g apostrophe left parenthesis x right parenthesis equals negative fraction numerator 10 over denominator 3 x cubed end fraction plus 8 over x to the power of 5 minus fraction numerator 1 over denominator 3 x to the power of 4 end fraction end style$