Turunan dari y = [tex] (1-x)^{2} (2x+3)[/tex]
Matematika
hafidaagustini
Pertanyaan
Turunan dari y = [tex] (1-x)^{2} (2x+3)[/tex]
2 Jawaban
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1. Jawaban Magriby
u = (1-x)²
u' = 2(1-x)
v = 2x+3
v' = 2
(uv)' = u'v+uv'
= 2(1-x) (2x+3) + (1-x)² (2)
= (-4x²-2x+6) + (2x²-4x+2)
= -2x²-6x+8 -
2. Jawaban arsetpopeye
y = (1 - x)^2 (2x + 3)
= (1 - 2x + x^2)(2x + 3)
= 2x + 3 - 4x^2 - 6x + 2x^3 + 3x^2
= 2x^3 - x^2 - 4x + 3
y' = 6x^2 - 2x - 4