Answer:
(-60x - 90x + 8) / (3x^2 + 2)^4 or you could write it as
2( -30x - 45x + 4) / (3x^2 + 2)^4
Step-by-step explanation:
Using the Quotient rule:
d(u/v) = (vdu - udv) / v^2
We have:
[3x^2 + 2)^3 * 4 - (4x + 5) * 3 (3x^2 + 2)^2 * 6x] / (3x^2 + 2)^6
= 4(3x^2 + 2) - 18x(4x + 5) / (3x^2 + 2)^4
= (12x^2 + 8 - 72x^2 - 90x ) / (3x^2 + 2)^4
= (-60x - 90x + 8) / (3x^2 + 2)^4
= 2( -30x - 45x + 4) / (3x^2 + 2)^4
