This problem comes from my physics lectures so hope i am not wrong here because its still a Mathmatical Problem.
So i have to derive a function $W(q(t),\dot q,t)$ that is defined for example as $W =a\dot q^2$
Now i have to differentiate it with respects to q partialy so $\frac{\partial (a\dot q^2)}{\partial q} $
How do i solve this, also does someone know good reading matter on those kinds of abstract differentials(hope thats the right word) Thank you very much