Jawaban:
y' = (18x^2 + 6x - 5) / (6x + 1)^2
Penjelasan dengan langkah-langkah:
y = (3x^2 - 5x) / (6x + 1)
y' = [(6x + 1)(6x - 5) - (3x^2 - 5x)(6)] / (6x + 1)^2
= [36x^2 - 24x - 5 - (18x^2 - 30x)] / (6x + 1)^2
= (18x^2 + 6x - 5) / (6x + 1)^2
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Jawaban:
y' = (18x^2 + 6x - 5) / (6x + 1)^2
Penjelasan dengan langkah-langkah:
y = (3x^2 - 5x) / (6x + 1)
y' = [(6x + 1)(6x - 5) - (3x^2 - 5x)(6)] / (6x + 1)^2
= [36x^2 - 24x - 5 - (18x^2 - 30x)] / (6x + 1)^2
= (18x^2 + 6x - 5) / (6x + 1)^2