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Suppose we have $T=f(q_1,q_2,t)$, I am trying to find the the following: $$ \frac{\partial T}{\partial q}=??$$ provided that: $$ q=q_1+bq_2$$ where b is constant. Is it going to be: $$ \frac{\partial T}{\partial q}=\frac{\partial T}{\partial q_1} \frac{\partial q_1}{\partial q}+\frac{\partial T}{\partial q_2} \frac{\partial q_2}{\partial q} ?$$ or something else, help me please. I found some similar stuff here and there, but mine is slightly different.

AlFagera
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