Suppose w xy yz x e2t y 2 sin1t z 2 cos5t Use the cha

Suppose w = x/y + y/z, x = e2t, y = 2 + sin(1t), z = 2 + cos(5t). 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 e2t 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\" Use part A to evaluate dw/dt when t = 0.

Solution

I\'m sorry earlier i assumed the 2e^2t as (2e)^2t
The actual answer = (1/2)*2e⁰ (-1/4 + 1/3)cos(0) + (-2/9)(-5*sin(0))
=1+1/3-1/4 = 1.0833