Matematika

Pertanyaan

kk tolong tunjukkan cara nyari nya
kk tolong tunjukkan cara nyari nya

2 Jawaban

  • Jawabannya a
    Maaf kalo salah
  • f(x) = (2/3)x³ - (1/2)x² - 3x + 1/6

    g(x) = f(1 - x)
    g(x) = (2/3)(1 - x)³ - (1/2)(1 - x)² - 3(1 - x) + 1/6

    g'(x) = (6/3)(1 - x)² . -1 - (2/2)(1 - x) . -1 - 3(-1)
    g'(x) = -2(1 - 2x + x²) + (1 - x) + 3
    g'(x) = -2 + 4x - 2x² + 1 - x + 3
    g'(x) = -2x² + 3x + 2

    g(x) naik jika g'(x) > 0
    -2x² + 3x + 2 > 0
    -(2x² - 3x - 2) > 0
    -(2x + 1)(x - 2) > 0
    x = -1/2 atau x = 2
    Garis bilangan :
    ----- (-1/2) +++ (2) -----
    Ambil daerah yg positif
    -1/2 < x < 2