Calculate the derivative of the function $y=\frac{(2x^2-3{)}^5}{(x^6+5{)}^7(4x+1{)}^6}.$

$\frac{{(2x^2-3)}^5}{{(x^6+5)}^7{(4x+1)}^6}(\frac{20x}{2x^2-3}-\frac{42}{x^6+5}-\frac{24}{4x+1})$

$\frac{{(2x^2-3)}^5}{{(x^6+5)}^7{(4x+1)}^6}(\frac{20x}{2x^2-3}-\frac{42x^5}{x^6+5}+\frac{24x}{4x+1})$

$\frac{{(2x^2-3)}^5}{{(x^6+5)}^7{(4x+1)}^6}(\frac{20x}{2x^2-3}-\frac{42x^5}{x^6+5}-\frac{24x^3}{4x+1})$

$\frac{{(2x^2-3)}^5}{{(x^6+5)}^7{(4x+1)}^6}(\frac{20x}{2x^2-3}-\frac{42x^5}{x^6+5}-\frac{24}{4x+1})$