I'm pretty new to Maple. I've been using MATLAB for quite a while but it isn't very convenient for this problem. My first question is if it's possible for Maple to do partial derivatives for a function with two variables. Here's an example of what I am doing.

W = Q*qA - P(qA - (qA-qE)/2) - (1/2)*k1*(qA - (qA-qE)/3)^2 - (1/2)*k2*(qA - 2(qA-qE)/3)^2;

(Maple cleans that up quite nicely)

Now I want to take the partial of W with respect to qA as well as the partial of W with respect to qE. So I should get something like this:

dW = Q*dqA - P(dqA - dqE)/2 - ...