Matematika

Pertanyaan

Turunan pertama g(x)=x-1/x^2-1 adalah g'(x)=......

1 Jawaban

  • U'v - V'u / v²
    U'= 1
    V'=2x
    U'v - V'u /v²
    1.(x²-1) - 2x.(x-1) /(x²-1)²
    (x²-1) -2x²+2x /(x²-1)²
    -x²+2x-1 / (x²-1)²
    (x-1)(-x+1) / (x²-1)²
    (x-1)(-x+1) / (x²-1)(x²-1)
    (x-1)(-x+1) / (x-1)(x+1) . (x-1)(x+1)
    -1 (x-1) / (x+1).(x-1)(x+1)
    = -1 / (x+1)²

Pertanyaan Lainnya