# Derivative of exponential function

1. Oct 7, 2016

### quicksilver123

Mod note: Changed title from "Differential Euler's Number"
1. The problem statement, all variables and given/known data

Find the derivative.
f(t)=etsin2t

3. The attempt at a solution

f'(t)=etsin2t(sin2t)(cos2t)(2)

However the book seems to say that there should be an extra "t" in the solution. Some help?

Last edited by a moderator: Oct 7, 2016
2. Oct 7, 2016

### Staff: Mentor

This is incorrect. It should be $f'(t) = e^{t\sin(2t)} \cdot \frac d{dt}(t \sin(2t))$
To get that last derivative you need to use the product rule and the chain rule, in that order.

3. Oct 7, 2016

### quicksilver123

Thank you!

I appreciate all of your help the past couple of days, for some reason I've been making a lot of mistakes but after a heavy study session today I'm feeling much more capable.

Thanks again!

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