Suppose
w=(x)/(y)+(y)/(z)
, where
x=e^(5t),y=2+sin(5t)
, and
z=2+cos(7t)
. 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
e^(5t)
as
x
.
(dw)/(dt)=
Note: Your answer should be an expression in
x,y,z
, and
t
, e.g. "3x-4y+2t" Use part 1. to evaluate
(dw)/(dt)
when
t=0
.