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I'm a little confused about something. I have an object, and I want to take the partial derivative of its position wrt velocity and vice versa. I'm not sure how to begin solving this problem. Essentially, what I have is this:

## \frac{\partial x}{\partial \dot x} ##

and

## \frac{\partial \dot x}{\partial x} ##

where the position ##x## can be determined by its velocity ##\dot x ## by:

## \int_0^t \! \dot x \, \mathrm{d}t ##

Any help with this would be much appreciated.

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# Partial Derivatives Question

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