Soal turunan F(x)=sin x per 5x-4
Matematika
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Pertanyaan
Soal turunan
F(x)=sin x per 5x-4
F(x)=sin x per 5x-4
1 Jawaban
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1. Jawaban DB45
Turunan
y = u/v
y ' = u'v - uv' / (v²)
y = (sin x) / (5x -4)
u = sin x --> u' = cos x
v = 5x - 4 --> v' = 5
y' = (u' v - uv') /(v²)
y' = (5x)(cos x) - (sinx)(5) / (5x-4)²
y ' = (5x cos x - 5 sin x) / (5x - 4)²