"change in * over time" is just an informal, everyday (non-scientific) expression.
I'm not sure about the other one. Maybe it's more scientific and short time-frame.
... as in:
Roger File Format: PDF/Adobe Acrobat - View as HTML
... The change in temperature with time (dT/dt) to be. considered here is the time scale long enough to influence temperature trends. So, a short term ...
blue.atmos.colostate.edu/publications/pdf/R-278b.pdf - Similar pages
Other occurrences in the first 10 hits are similar uses.
