Question

Suppose w = [x/y] + [y/z], x = e2 t, y = 2 + sin( 1 t), z = 2 + cos( 3 t ).

A. Use the chain rule to find [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 e2 t as x.
[dw/dt] = ???
Note: 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 [dw/dt] when t = 0.
???