turunan : y= in [1+sin2x] : [1-sin2x]
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turunan : y= in [1+sin2x] : [1-sin2x]
1 Jawaban
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1. Jawaban Robinn
y = (1 + sin2x) / (1 - sin2x)
u = 1 + sin2x
u' = 2cos2x
v = 1 - sin2x
v' = -2cos2x
y' = u'v - uv' / v²
y' = 2cos2x (1 - sin2x) - (1 + sin2x)(-2cos2x) / (1 - sin2x)(1 - sin2x)
y' = 2cos2x (1 - sin2x) + 2cos2x(1 + sin2x) / (1 - sin2x)(1 - sin2x)
y' = 2cos2x (1 - sin2x +1 + sin2x) / (1 - sin2x)(1 - sin2x)
y' = 4cos2x / (1 - sin2x)²