Matematika

Pertanyaan

Fungsi turunan
Jika f(x) = (x2 +3) / (2x + 1)
maka tentukan :
a) f’(x)
b) f(0) + 2f’(0)

1 Jawaban

  • f(x) = (x² +3) / (2x+1)
    u = x²+3 , u'= 2x
    v = 2x+1 , v' = 2

    f(0)= 3/1 = 3

    f '(x) = (u'v - uv') / (v²)
    f '(x) = {2x(2x+1) - (x²+3)(2)} / (2x+1)²

    f'(0) = (0 - 6)/(1)²= - 6
    f(0) + 2. f'(0) = 2 + 2(-6) = -10

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