yang paham tolong dong nomor 32 itu gimana???
Matematika
aailmi1
Pertanyaan
yang paham tolong dong nomor 32 itu gimana???
2 Jawaban
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1. Jawaban DB45
y = u/v
u = 1 + cos x --> u' = - sin x
v = - sin x -> v' = - cos x
y' = u'v - uv'/*v²
y' = (-sin x)(-sin x)- (1+cosx)(-cosx) / (-sin x)²
y' = (sin² x + cos x + cos² x) / (sin ²x)
y' =( 1 + cos x)/(1 - cos² x)
y' = (1 + cos x) / ( 1 + cos x)(1 - cos x)
y' = 1/(1- cos x) -
2. Jawaban idznizhahrina
(U'V-UV')/V²
=((-sinx)(-sin x)-(1+cos x)(-cos x))/(-sin x)²
=(sin²x+cosx+cos²x)/(sin²x)
=(1+cos x)/sin²x
=(1+cos x)/(1-cos²x)
=(1+cos x)/(1+cosx)(1-cos x)
=1/(1-cosx)