That depends on the life-cycle of the drug.
For example... standard Ritalin (because I'm most familiar with that one) only stays in the body for about 8 hours (with a half-life of 4 hrs). If there are side-effects, they should start improving within 8-12 hours of the last dose, but some side effects are subtle (like appetite-suppression) and so the effect of stopping the drug may not be so obvious.
Other drugs have a long life-cycle - taking weeks to work their way out of your system. Usually, you don't just stop those cold-turkey, though... but it would be less likely to see effects in 24 hours for these kinds of drugs.
And those are about the two extremes - so, wherever your medication fits in the spectrum, there will be some window of time in which to expect a difference both starting-up on the drug, and dropping the drug.
And then there is the complication of some medications where the effectiveness is a longer timeframe but the side-effects are a shorter timeframe...
So... can't say for that particular combo of medications and symptoms... but someone out there should know.
You could ask the pharmacist.