Tolong soal umpn matematika 2017
Matematika
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Pertanyaan
Tolong soal umpn matematika 2017
2 Jawaban
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1. Jawaban arsetpopeye
f(x) = (2x^2 + 3)/(x - 6) ==> f(0) = (2.0^2 + 3)/(0 - 6) = 3/-6 = -1/2
f(x) = u/v
u = 2x^2 + 3 => u' = 4x
v = x - 6 => v' = 1
f'(x) = (u' v - v' u)/v^2
f'(x) = (4x (x - 6) - 1(2x^2 + 3)) / (x - 6)^2
f'(0) = (4(0) (0 - 6) - (2(0)^2 + 3)) / (0 - 6)^2
f'(0) = (0 - 3) / (-6)^2
f'(0) = -3/36 = -1/12
f(0) + f'(0) = -1/2 + (-1/12) = -6/12 - 1/12 = -7/12 -
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