Find the derivative.
-$\frac{x^{3}-2}{(4 x+3)(6 x-2)}$
A) $\frac{24 x^{4}+20 x^{3}-18 x^{2}-96 x-52}{(4 x+3)(6 x-2)}$
B) $\frac{72 x^{4}+40 x^{3}-18 x^{2}+96 x+20}{(4 x+3)(6 x-2)}$
C) $\frac{24 x^{4}-52 x^{3}-18 x^{2}+48 x-52}{(4 x+3)^{2}(6 x-2)^{2}}$
D) $\frac{24 x^{4}+20 x^{3}-18 x^{2}+96 x+20}{(4 x+3)^{2}(6 x-2)^{2}}$

Question

Quizplus · Accepted Answer

The derivative of a quotient is found using the quotient rule. After applying the quotient rule to the given function, the correct derivative simplifies to option D.

Find the Derivative x3−2(4x+3)(6x−2)\frac{x^{3}-2}{(4 x+3)(6 x-2)}(4x+3)(6x−2)x3−2​ A) 24x4+20x3−18x2−96x−52(4x+3)(6x−2)\frac{24 x^{4}+20 x^{3}-18 x^{2}-96 x-52}{(4 x+3)(6 x-2)}(4x+3)(6x−2)24x4+20x3−18x2−96x−52​

Find the Derivative $\frac{x^{3}-2}{(4 x+3)(6 x-2)}$ A) $\frac{24 x^{4}+20 x^{3}-18 x^{2}-96 x-52}{(4 x+3)(6 x-2)}$