Turunan pertama fungsi f(x) = 5-3×/2×-1 adalah?
Matematika
anggadwimahend
Pertanyaan
Turunan pertama fungsi f(x) = 5-3×/2×-1 adalah?
1 Jawaban
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1. Jawaban arsetpopeye
f(x) = (5 - 3x)/(2x - 1) = u/v
u = 5 - 3x => u' = -3
v = 2x - 1 => v' = 2
f'(x) = (u' v - v' u)/v^2
= (-3 (2x - 1) - 2(5 - 3x)) / (2x - 1)^2
= (-6x + 3 - 10 + 6x) / (2x - 1)^2
= -7 / (2x - 1)^2
^ = pangkat