Sorry to ressurect this, but I have another assignment on similar subject matter. I figured it would be better to ask again her, than make a new thread.

Both of these types I remember covering in class, but can't seem to find them in my notes.

$\displaystyle e^{2x^3}$

That is e to the power of 2 times x to the power of 3.

Do I double up the chain rule here or something?

Also

$\displaystyle

sin(tan(x))$

would that just become

$\displaystyle

-cos(sec^2(x))$

Or is there more to it?