Tentukan turunan fungsi berikut. 1. f(x) = x + 2 / x - 4 2. f(x) = -4x / 5x + 1
Matematika
Naufal087
Pertanyaan
Tentukan turunan fungsi berikut.
1. f(x) = x + 2 / x - 4
2. f(x) = -4x / 5x + 1
1. f(x) = x + 2 / x - 4
2. f(x) = -4x / 5x + 1
1 Jawaban
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1. Jawaban EvandRoga
1. f(x) = x + (2/x) - 4
dx = x + 2x^(-1) -4
= 1 + (-1)(2) x^(-2)
= 1 - 2x^(-2)
= 1 - 2/x^2 (satu kurang 2 per-x pangkat
2)
2. f(x) = -4x/5x + 1
dx = -4x.5x^(-1)
= -4.(-1)(5)x^(-1-1)
= -4.(-15x^-2)
= 4/15x^2 (4 per-15x pangkat 2)