If Y = (X - 3)² / (9 + 12X - X⁴),then dY/dX is: A) [2(9 + 12X - X⁴)(X - 3) + (12 - 4X³)(X - 3)²] / (9 + 12X - X⁴)². B) [2(9 + 12X - X⁴)(X - 3) - (12 - 4X³)(X - 3)²] / (9 + 12X - X⁴)². C) [2(9 + 12X - X⁴)(X - 3) + (12 - 4X³)(X - 3)²](9 + 12X - X⁴)². D) [2(9 + 12X - X⁴)(X - 3) - (12 - 4X³)(X - 3)²](9 + 12X - X⁴)². E) [2(9 + 12X - X⁴)(X - 3) - (12 - 4X³)(X - 3)²] / (9 + 12X - X⁴).

Question

Quizplus · Accepted Answer

The correct answer involves applying the quotient rule for differentiation, which is given by [v(u') - u(v')]/v^2, where u = (X - 3) and v = (9 + 12X - X). The differentiation of the numerator and denominator correctly leads to the expression in option B.

If Y = (X - 3)2 / (9 + 12X

If Y = (X - 3)² / (9 + 12X