Matematika

Pertanyaan

tolong bantuanya ya.. sama caranya juga
tolong bantuanya ya.. sama caranya juga

1 Jawaban

  • Aritmatika
    Limit
    Turunan

    21)
    Sn = n/2 (2a + (n -1)b)
    S40 = 40/2 ( 2(12) + (40-1)2)
    S40 = 20(24 + 78)
    S40 = 20(102)
    S40 = 2040

    D

    23)
    Nilai = (b-q)/2√a
    = (3-5)/2√1
    = -2/2
    = -1

    E

    24)
    f(x) = (3x - 1)(x² + 3x - 4)²

    u = 3x - 1
    u' = 3

    v = (x² + 3x - 4)²
    v' = 2(x² + 3x - 4)(2x + 3)
    v' = (4x + 6)(x² + 3x - 4)
    v' = 4x³ + 12x² - 16x + 6x² + 18x - 24
    v' = 4x³ + 18x² + 2x - 24

    f'(x) = u'v + uv'
    = 3(x² + 3x - 4) + (3x - 1)(4x³ + 18x² + 2x - 24)

    f'(-1)
    = 3((-1)²+3(-1)-4))² + (3(-1)-1) . (4(-1)³ + 18(-1)² + 2(-1) - 24)
    = 108 + 48
    = 156

    A