Use the quotient rule to find the derivative of $f(x)/g(x)$ where $f(x)=4x^2+5x-2$ and $g(x)=-3x-7$.

Problem: 

Use the quotient rule to find the derivative of $f(x)/g(x)$ where $f(x)=4x^2+5x-2$ and $g(x)=-3x-7$.

Answer: 

\[ \frac{d}{dx}\left(\frac{f}{g}\right)=\frac{(-3x-7)(8x+5)-(4x^2+5x-2)(-3)}{(-3x-7)^2} \]