Pertanyaan

Jika f ( x ) = sin x + cos x cos x maka f ( x ) = ...

Jika $f (x) = \frac{cos x}{sin x + cos x}$ maka $f (x) = ...$

-1
$straight f open parentheses straight x close parentheses equals fraction numerator negative sin space straight x over denominator cos space straight x minus sin space straight x end fraction$
$straight f open parentheses straight x close parentheses equals fraction numerator negative sin space straight x over denominator open parentheses cos space straight x plus sin space straight x close parentheses squared end fraction$
$fraction numerator 1 over denominator 1 plus sin space 2 straight x end fraction$
$fraction numerator negative 1 over denominator 1 plus sin space 2 straight x end fraction$

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

, gunakan rumus

$straight f open parentheses straight x close parentheses equals fraction numerator cos space straight x over denominator sin space straight x plus cos space straight x end fraction$ , gunakan rumus $f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction$

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight f apostrophe open parentheses straight x close parentheses end cell equals cell fraction numerator negative sin space x open parentheses sin space straight x plus cos space straight x close parentheses minus cos space x open parentheses cos space straight x minus sin space straight x close parentheses over denominator open parentheses sin space straight x plus cos space straight x close parentheses squared end fraction end cell row blank equals cell fraction numerator negative sin squared x minus sin space x space cos space x space minus cos squared x plus cos space x space sin space x over denominator sin squared space x plus 2 space sin space x space cos space x plus cos squared space x end fraction end cell row blank equals cell fraction numerator negative open parentheses sin squared space x plus cos squared space x close parentheses over denominator sin squared space x plus cos squared space x plus 2 space sin space straight x space cos space straight x end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 1 plus sin space 2 x end fraction end cell end table$