Simple derivative of exponential function

[Jrlinton]

1. Homework Statement
Find derivative of
y=e^(cos(t)+lnt)

Homework Equations

The Attempt at a Solution

So just using the chain rule:
y'=e^(cos(t)+lnt)*(-sin(t)+1/t)
The answer in the back of the book is
y'=e^(cos(t))*(1-tsin(t))

 

[Jrlinton]

Just trying to figure out where I went wrong or if these are just two forms of the same answer?

 

[fresh_42]

The answers are identical. What is $a^{b+c}$ and what $e^{\ln t}$?

 

[Jrlinton]

Thank you