Using d/dt (e^t) = e^t and d/dt (tan t) = sec^2 t
`y' = d/dt (tan e^t) + d/dt e^(tan t)`
`= sec^2 (e^t) d/dt e^t + e^(tan t) d/dt (tan t)`
`= e^t sec^2(e^t) + e^(tan t) sec^2 t`
hope this helps.
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