Matematika

Pertanyaan

pliss bantu jawab ya temen2 pelajaran matematika tentang turunan limit no 2 b-h
pliss bantu jawab ya temen2 pelajaran matematika tentang turunan limit no 2  b-h

1 Jawaban

  • Turunan Fungsi Aljabar"

    y = a xⁿ  → y' = an (x)ⁿ⁻¹

    b)
    y =  2x - 3/x
    y = 2x - 3x⁻¹
    y' = 2 + 3 x⁻²
    y' = 2 + 3/x²

    c)
    y = 5x³ - 3
    y' = 15x²

    d)
    y = 1 - 2x
    y' = - 2

    e)
    y = (1 - 3x)²
    y' = 2(1 -3x)(-3)
    y' = -6(1 - 3x)
    y' = 18x - 6

    f)
    y = ¹/₄ x⁻⁴
    y' = -4(¹/₄) x⁻⁴⁻¹
    y' = - x⁻⁵
    y' = - 1/x⁵

    g)
    y = 6x⁻¹/²
    y' = 6(-1/2) x⁻¹/²⁻¹
    y' = - 3 x⁻³/²

    h)
    y = 3 x³/⁴
    y' = 3/4(3) x³/⁴⁻¹
    y' = 9/4 x⁻¹/⁴