Matematika

Pertanyaan

Tolong kerjakan nomor 8 beserta caranya, thanks.
Tolong kerjakan nomor 8 beserta caranya, thanks.

1 Jawaban

  • f(x) = ²log (6 - x) + ²log (x + 2)
    f(x) = ²log (6 - x)(x + 2)
    f(x) = ²log (-x² + 4x + 12)

    Makasimum saat turunan (-x² + 4x + 12) = 0
    -2x + 4 = 0
    x = 2

    Nilai maksimum :
    f(2) = ²log (-2² + 4.2 + 12)
    f(2) = ²log 16
    f(2) = ²log 2⁴
    f(2) = 4 ✔