### Problem 4b

4b. Find the first and second derivative.

To get the first derivative, we use the quotient rule

For the second derivative, we use the quotient rule again.

Unlike polynomials, the more you differentiate a rational
function, the more complicated it gets. We can simplify it somewhat
by noticing that each of the terms in the top has at least one factor
of x^{2} - 4x + 3.

This factor of x^{2} - 4x + 3 in the top will cancel one
of the 4 factors in the bottom.