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Qmechanic
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I have the time derivative of the lagrangian: enter image description here

$$\frac{\mathrm d \mathcal L}{\mathrm d t}=\sum_i\left(\frac{\partial \mathcal L}{\partial q_i}\frac{\mathrm d q_i}{\mathrm d t}+\frac{\partial \mathcal L}{\partial \dot{q_i}}\frac{\mathrm d \dot{q_i}}{\mathrm d t}\right)+\frac{\partial \mathcal L}{\partial t}$$

Can someone explain how I can obtain that expression?

I have the time derivative of the lagrangian: enter image description here

Can someone explain how I can obtain that expression?

I have the time derivative of the lagrangian:

$$\frac{\mathrm d \mathcal L}{\mathrm d t}=\sum_i\left(\frac{\partial \mathcal L}{\partial q_i}\frac{\mathrm d q_i}{\mathrm d t}+\frac{\partial \mathcal L}{\partial \dot{q_i}}\frac{\mathrm d \dot{q_i}}{\mathrm d t}\right)+\frac{\partial \mathcal L}{\partial t}$$

Can someone explain how I can obtain that expression?

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Time derivative of the Lagrangian

I have the time derivative of the lagrangian: enter image description here

Can someone explain how I can obtain that expression?