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Question: Derivative respect to a derivative variable: d L(qi,t) /d dq1(t)

Question:Derivative respect to a derivative variable: d L(qi,t) /d dq1(t)

kingwill2020 10 Maple 2018
November 04 2018
2

If q := [q1(t),q2(t),q3(t)];

and L=cos(q1(t))+sin(q2(t))+5*dq1 + 4*dq3

now I want to get the result of the following expression

d(dL/d dq1)/dt=?,

how can i write the expression?

In above expression dq1 is the derivative of q1(t), and dq3 is that of q3(t),
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