Matematika

Pertanyaan

tolong ya kk. terima kasih
tolong ya kk. terima kasih

1 Jawaban

  • f(x) = (x² + x)√5x + 1
    f(x) = (x² + x)(5x + 1)^1/2
    u = x² + x
    u' = 2x
    v = (5x + 1)^1/2
    v' = (5/2x + 1/2)^-1/2
    f'(x) = u'v + uv'
           = 2x.(5x + 1)^1/2 + (x² + x).(5/2x + 1/2)^-1/2
    f'(3) = 2(3).(5(3) + 1)^1/2 + ((3)² + 3).(5/2(3) + 1/2)^-1/2
           = 6.(16)^1/2 + (12).(16/2)^-1/2
           = 6(4²)^1/2 + 12(4²/2)^-1/2
           = 24 + 24
           = 48