Matematika

Pertanyaan

yang paham tolong dong nomor 32 itu gimana???
yang paham tolong dong nomor 32 itu gimana???

2 Jawaban

  • 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)

  • (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)