Pertanyaan

Turunan fungsi f ( x ) = 3 x 3 2 2 − x 2 5 3 + 4 x 2 3 1 adalah f ( x ) = ...

Turunan fungsi $f (x) = \frac{2}{3 x ^{\frac{2}{3}}} - \frac{3}{x ^{\frac{5}{2}}} + \frac{1}{4 x ^{\frac{3}{2}}}$ adalah $f (x) = ...$

$negative fraction numerator 4 over denominator 9 x to the power of begin display style bevelled 5 over 3 end style end exponent end fraction plus fraction numerator 15 over denominator 2 x to the power of begin display style bevelled 7 over 2 end style end exponent end fraction minus fraction numerator 3 over denominator 8 x to the power of begin display style bevelled 5 over 2 end style end exponent end fraction$
$fraction numerator 2 over denominator 3 x to the power of begin display style bevelled fraction numerator negative 1 over denominator 3 end fraction end style end exponent end fraction minus 2 over x to the power of begin display style bevelled 3 over 2 end style end exponent plus fraction numerator 1 over denominator 6 x to the power of begin display style bevelled 1 half end style end exponent end fraction$
$1 over x to the power of begin display style bevelled 2 over 3 end style end exponent minus 15 over x to the power of begin display style bevelled 5 over 2 end style end exponent plus fraction numerator 1 over denominator 6 x to the power of begin display style bevelled 3 over 2 end style end exponent end fraction$
$negative fraction numerator 4 over denominator 9 x to the power of begin display style bevelled 2 over 3 end style end exponent end fraction plus fraction numerator 15 over denominator 2 x to the power of begin display style bevelled 7 over 2 end style end exponent end fraction minus fraction numerator 3 over denominator 8 x to the power of begin display style bevelled 3 over 2 end style end exponent end fraction$
$1 over x to the power of begin display style bevelled 2 over 3 end style end exponent minus 2 over x to the power of begin display style bevelled 5 over 2 end style end exponent plus fraction numerator 1 over denominator 6 x to the power of begin display style bevelled 3 over 2 end style end exponent end fraction$

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

jawaban yang teapt adalah A.

Pembahasan

Ingat : Maka, Jadi, jawaban yang teapt adalah A.

Ingat :

rightwards arrow 1 over x to the power of n equals x to the power of negative n end exponent rightwards arrow f left parenthesis x right parenthesis equals a x to the power of n rightwards arrow f apostrophe left parenthesis x right parenthesis equals a n x to the power of n minus 1 end exponent

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 2 over denominator 3 x to the power of begin display style bevelled 2 over 3 end style end exponent end fraction minus 3 over x to the power of begin display style bevelled 5 over 2 end style end exponent plus fraction numerator 1 over denominator 4 x to the power of begin display style bevelled 3 over 2 end style end exponent end fraction end cell row blank equals cell 2 over 3 x to the power of negative bevelled 2 over 3 end exponent minus 3 x to the power of negative bevelled 5 over 2 end exponent plus 1 fourth x to the power of negative bevelled 3 over 2 end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell negative 4 over 9 x to the power of negative bevelled 5 over 3 end exponent plus 15 over 2 x to the power of negative bevelled 7 over 2 end exponent minus 3 over 8 x to the power of negative bevelled 5 over 2 end exponent end cell row blank equals cell negative fraction numerator 4 over denominator 9 x to the power of begin display style bevelled 5 over 3 end style end exponent end fraction plus fraction numerator 15 over denominator 2 x to the power of begin display style bevelled 7 over 2 end style end exponent end fraction minus fraction numerator 3 over denominator 8 x to the power of begin display style bevelled 5 over 2 end style end exponent end fraction end cell end table$

Jadi, jawaban yang teapt adalah A.