jika f(x) = sin x : sin x + cos x, maka f'(x) = ...
Matematika
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Pertanyaan
jika f(x) = sin x : sin x + cos x, maka f'(x) = ...
1 Jawaban
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1. Jawaban Anonyme
jawab
turunan
y = sin x/(sin x + cos x)
y = u/v --> y' = (u'v - v'u)/ v²
y' = { (cos x (sin x + cos x) - sin x(cos x - sin x) } / (sin x + cos x)²
y' = (sin x cos x + cos²x - sin x cos x + sin² x) / (sin x + cos x)²
y' = (cos² x + sin² x) / (sin x + cos x)²
y' = 1/ (sin x + cos x)²