# Simple derivative of exponential function

1. Nov 29, 2016

### Jrlinton

1. The problem statement, all variables and given/known data
Find derivative of
y=e^(cos(t)+lnt)
2. Relevant equations

3. 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))

Last edited by a moderator: Nov 29, 2016
2. Nov 29, 2016

### Jrlinton

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

3. Nov 29, 2016

### Staff: Mentor

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

4. Nov 29, 2016

Thank you