jika f(x) = (3x²+4)^5 (2x-1)⁴, maka f'(x) =...
Matematika
clara140
Pertanyaan
jika f(x) = (3x²+4)^5 (2x-1)⁴, maka f'(x) =...
1 Jawaban
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1. Jawaban Jawer17
f(x) = (3x²+4)^5 (2x-1)⁴, maka f'(x) =
u = (3x² + 4)^5
u' = 5(3x² + 4)^4.(6x) = 30x(3x² + 4)^4
v = (2x - 1)^4
v' = 4(2x - 1)^3.(2) = 8(2x - 1)^3
f'(x) = (u'v - v'u)/v²
= [30x(3x² + 4)^4(2x - 1)^4 - 8(2x - 1)^3(3x² + 4)^5]/(2x - 1)^8
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