Suppose $\displaystyle w = \frac{x}{y} + \frac{y}{z}$, where
$x = e^{2t},\ y = 2 + \sin \left( 3t \right)$, and $z = 2 + \cos \left( 3t \right)$.

A ) Use the chain rule to find $\frac{dw}{dt}$ as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite $e^{2t}$ as x.
$\frac{dw}{dt}$ =
Note: You may want to use exp() for the exponential function. Your answer should be an expression in x, y, z, and t; e.g. "3x - 4y"

B ) Use part A to evaluate $\frac{dw}{dt}$ when $t = 0$.