Pertanyaan

Nilai turunan dari f ( x ) = x 3 + x 2 − 1 x adalah ....

Nilai turunan dari $f (x) = x^{3} + \frac{x}{x ^{2} - 1}$ adalah ....

$begin mathsize 14px style 3 x squared plus fraction numerator x squared plus 1 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end style$
$begin mathsize 14px style 3 x squared minus fraction numerator x squared minus 1 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end style$
$begin mathsize 14px style x squared plus fraction numerator 3 x squared plus 1 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end style$
$begin mathsize 14px style x squared minus fraction numerator 3 x squared plus 1 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end style$
$begin mathsize 14px style 3 x squared minus fraction numerator 3 x plus 1 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end style$

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Habis dalam

Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Turunan dari Jadi, jawaban yang tepat adalah B

$begin mathsize 14px style f left parenthesis x right parenthesis equals x cubed plus fraction numerator x over denominator x squared minus 1 end fraction end style$

Turunan dari

$begin mathsize 14px style f apostrophe open parentheses x close parentheses equals 3 x squared plus fraction numerator 1 open parentheses x squared minus 1 close parentheses minus open parentheses 2 x close parentheses x over denominator open parentheses x squared minus 1 close parentheses squared end fraction f apostrophe open parentheses x close parentheses equals 3 x squared plus fraction numerator negative x squared minus 1 over denominator open parentheses x squared minus 1 close parentheses squared end fraction end style$

Jadi, jawaban yang tepat adalah B