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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-pa289

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`

.