Pertanyaan

Jika f ( x ) = cos 2 x − sin 2 x tan 2 x , maka f'(x) adalah...

Jika $f (x) = \frac{tan 2 x}{cos ^{2} x - sin ^{2} x}$ , maka f'(x) adalah...

$fraction numerator negative 2 space s e c squared space 2 x space cos space 2 x plus 2 space tan space 2 x space sin space 2 x over denominator 2 space cos squared space 2 x end fraction$
$fraction numerator negative 2 space s e c squared space 2 x space cos space 2 x minus 2 space tan space 2 x space sin space 2 x over denominator cos squared space 2 x end fraction$
$fraction numerator 2 space s e c squared space 2 x space cos space 2 x minus 2 space tan space 2 x space sin space 2 x over denominator 2 space cos squared space 2 x end fraction$
$fraction numerator 2 space s e c squared space 2 x space cos space 2 x plus 2 space tan space 2 x space sin space 2 x over denominator cos squared space 2 x end fraction$
$fraction numerator 2 space s e c squared space 2 x space cos space 2 x minus 2 space tan space 2 x space sin space 2 x over denominator cos squared space 2 x end fraction$

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Ingat rumus sudut rangkap cos 2x: Maka, Misalkan: Maka Jawaban D

Ingat rumus sudut rangkap cos 2x:

Maka,

$f open parentheses x close parentheses equals fraction numerator tan space 2 x over denominator cos squared space x minus sin squared space x end fraction f open parentheses x close parentheses equals fraction numerator tan space 2 x over denominator cos space 2 x end fraction$

Misalkan:

Maka

$f apostrophe open parentheses x close parentheses equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction f apostrophe open parentheses x close parentheses equals fraction numerator open parentheses 2 space s e c squared space 2 x close parentheses open parentheses cos space 2 x close parentheses minus open parentheses tan space 2 x close parentheses open parentheses negative 2 space sin space 2 x close parentheses over denominator open parentheses c os space 2 x close parentheses squared end fraction f apostrophe open parentheses x close parentheses equals fraction numerator 2 space s e c squared space 2 x space cos space 2 x plus 2 space tan space 2 x space sin space 2 x over denominator cos squared space 2 x end fraction$

Jawaban D