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how to do these calculus questions?
I have found the answer for 8 a) which is 18x^2-36x
8b) and c) i am not sure how to do

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- billrussell42Lv 72 months ago
y = 2x²(3x – 9)
y = 8x³ – 18x²
y' = 24x² – 36x
y = (3x – 6) / (x(x+6))
y = (3x – 6) / (x² + 6x)
quotient rule(f/g)' = (f'g–fg')/g²
f = (3x – 6) f' = 3
g = (x² + 6x) g' = 2x + 6
y' = [3(x² + 6x) – (3x – 6)(2x + 6) ] / (x² + 6x)²
can be simplified a bit
y' = [3x² + 18x – (6x² – 12x + 18x – 36) ] / (x² + 6x)²
y' = [3x² + 18x – 6x² + 12x – 18x + 36 ] / (x² + 6x)²
y' = (–3x² + 12x + 36) / (x⁴ + 12x³ + 36x²)
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