turunan fungsi f(x) = 2x^2 - 5 / 4x - 7 adalah
Matematika
Dinasyafitrichan
Pertanyaan
turunan fungsi f(x) = 2x^2 - 5 / 4x - 7 adalah
2 Jawaban
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1. Jawaban puput287311
maaf kalo salah.
good luck
:-)
❤
⭐2. Jawaban arsetpopeye
f(x) = (2x^2 - 5)/(4x - 7) = u/v
u = 2x^2 - 5 => u' = 4x
v = 4x - 7 => v' = 4
f'(x) = (u' v - v' u)/v^2
= (4x(4x - 7) - 4(2x^2 - 5)) / (4x - 7)^2
= (16x^2 - 28x - 8x^2 + 20) / (4x - 7)^2
= (8x^2 - 28x + 20) / (4x - 7)^2
= 4(2x^2 - 7x + 5) / (4x - 7)^2
= 4(2x^2 - 7x + 5) / (16x^2 - 56x + 49)
