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