Pertanyaan

Turunan pertama dari y = sin x + cos x sin x adalah...

Turunan pertama dari $y = \frac{sin x}{sin x + cos x}$ adalah...

$fraction numerator cos space x over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction$
$fraction numerator 1 over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction$
$fraction numerator 2 over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction$
$fraction numerator sin space x plus cos space x over denominator left parenthesis sin space x minus cos right parenthesis squared end fraction$
$fraction numerator 2 sin space x space cos space x over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction$

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Klaim

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style I n g a t space y equals u over v comma space m a k a space y apostrophe equals fraction numerator u apostrophe v minus v apostrophe u over denominator v squared end fraction u equals sin space x comma space u apostrophe equals cos space x v equals sin space x plus cos space x comma space v apostrophe equals cos space x minus sin space x end style$

$begin mathsize 14px style y apostrophe equals fraction numerator u apostrophe v minus v apostrophe u over denominator v squared end fraction y apostrophe equals fraction numerator cos space x left parenthesis sin space x plus cos space x right parenthesis minus left parenthesis cos space x minus sin space x right parenthesis sin space x over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction y apostrophe equals fraction numerator cos squared x plus sin space x space cos space x minus sin space x space cos space x plus sin squared x over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction y apostrophe equals fraction numerator cos squared x plus sin squared x over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction y apostrophe equals fraction numerator 1 over denominator left parenthesis sin space x plus cos space x right parenthesis squared end fraction end style$