F(x)=(6x-3)^3(2x-1) F¹(x)
Matematika
Gresinta26
Pertanyaan
F(x)=(6x-3)^3(2x-1)
F¹(x)
F¹(x)
2 Jawaban
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1. Jawaban hendrisyafa
u = (6x-3)³
u' = 3(6x-3)².6
= 18 (6x-3)²
v = (2x-1)
v' = 2
f'(x) = u'v + v'u
= 18 (6x-3)² (2x-1) + 2 (6x-3)³ -
2. Jawaban keruasriki
F'(x) = 6×3(6x-3)^2 (2x-1) + (6x-3)^3 (2)
F'(x)= 18(6x-3)^2(2x-1) + 2(6x-3)^3
atau
F'(x) = 2(6x-3)^2[9(2x-1) + (6x-3)]
F'(x) = 2(6x-3)^2(18x-9+6x-3)
F'(x) = 2(6x-3)^2(24x - 12)