Announcement

Collapse
No announcement yet.

Tentukan turunan dari fungsi berikut:

Collapse
X
  • Filter
  • Time
  • Show
Clear All
new posts

  • Tentukan turunan dari fungsi berikut:

    1. g=x(x2+1)
    2. y=(x4+2x)(x3+2x+1)
    3. y=(3x2+2x)(x4-3x+1)
    4. y=x-1​​​​
    x+1 ​​​​​​
    5. 5x-4
    3x2+1
    Last edited by Muhamad Sidik; 10-08-2019, 11:44 PM.

  • #2
    Untuk mengetahui jawabanya kalian bisa belajar kelompok bersama teman sekolah atau teman les matenatika kalian. Dengan belajr bersama kalian bisa membentuk kelompok belajar semua pelajaran.
    Last edited by akongs09; 10-09-2019, 08:22 AM.

    Comment


    • #3
      1. g = x(x2 + 1) = x3 + x
      g' = 3x2 + 1

      2. y=(x4+2x)(x3+2x+1)
      Misal y = uv
      u = (x4+2x) → u' = (4x3 + 2)
      v = (x3+2x+1) → v' = (3x2 + 2)
      y' = u'v + uv' = (4x3 + 2)(x3+2x+1) + (x4+2x)(3x2 + 2)

      3. y=(3x2+2x)(x4-3x+1)
      Misal y = uv
      u = (3x2+2x) → u' = (6x + 2)
      v = (x4-3x+1) → v' = (4x3 - 3)
      y' = u'v + uv' = (6x + 2)(x4-3x+1) + (3x2+2x)(4x3 - 3)

      4. y = (x - 1)/(x + 1)

      Misal y = u/v
      u = x - 1 → u' = 1
      v = x + 1 → v' = 1
      y = (u'v - uv')/v2 = (1(x + 1) - (x - 1)(1))/(x + 1)2 = (x + 1 - x + 1)/(x + 1)2 = 2/(x + 1)2

      5. y = (5x - 4)/(3x2 + 1)
      Misal y = u/v
      u = 5x - 4 → u' = 5
      v = 3x2 + 1 → v' = 6x
      y = (u'v - uv')/v2 = (5(3x2 + 1) - (5x - 4)(6x))/(3x2 + 1)2 = (15x2 + 5 - 30x2 + 24x)/(3x2 + 1)2 = (-15x2 + 24x + 5)/(3x2 + 1)2

      Comment

      Working...
      X