- #1

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##\frac{dF}{dt}=\frac{\partial F}{\partial x} \frac{dx}{dt} + \frac{\partial F}{\partial y} \frac{dy}{dt}##

Or similar terms containing ##\dot{x}(t)## etc should also be included or it is something else altogether?

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- Thread starter Ananthan9470
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- #1

- 32

- 0

##\frac{dF}{dt}=\frac{\partial F}{\partial x} \frac{dx}{dt} + \frac{\partial F}{\partial y} \frac{dy}{dt}##

Or similar terms containing ##\dot{x}(t)## etc should also be included or it is something else altogether?

- #2

Mark44

Mentor

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If the function had parameters x, y, z, and w, the total derivative would have four terms, with the last two being ##\frac{\partial F}{\partial z} \frac{dz}{dt} + \frac{\partial F}{\partial w} \frac{dw}{dt}##. I believe that the derivative you're trying to find needs similar terms, with the partials being with respect to ##\dot{x}## and ##\dot{y}##.

##\frac{dF}{dt}=\frac{\partial F}{\partial x} \frac{dx}{dt} + \frac{\partial F}{\partial y} \frac{dy}{dt}##

Or similar terms containing ##\dot{x}(t)## etc should also be included or it is something else altogether?

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