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## Main Question or Discussion Point

I have the equation

[itex]\frac{d\rho}{dt}[/itex]=-[itex]\nabla[/itex][itex]\cdot[/itex][itex]\rho v[/itex]

where the vector v depends only x and t.

I want to take the partial derivative of this whole equation with respect to t.

Just not sure how to take the partial of the divergence. Thanks!

[itex]\frac{d\rho}{dt}[/itex]=-[itex]\nabla[/itex][itex]\cdot[/itex][itex]\rho v[/itex]

where the vector v depends only x and t.

I want to take the partial derivative of this whole equation with respect to t.

Just not sure how to take the partial of the divergence. Thanks!