Exercises - The Quotient Rule

1. Differentiate the following

1. $\displaystyle{y = \frac{\sin x}{\ln x}}$

2. $\displaystyle{y = \frac{x}{x-4}}$

3. $\displaystyle{y = \frac{x^2 - 1}{(x+4)^2}}$

2. Suppose $\displaystyle{y = \frac{x^2-4x+3}{x-1}}$ and then find $\displaystyle{\frac{dy}{dx}}$