There aren't too many resources that are sorted by topic. The ones that I can think of off the top of my head are teacher worksheets, textbooks, subject repos from your school, and AN topic tests (it's not a plug, it's just because it's sorted). Other more obscure sources may include exams from other schools, but these are generally tough to impossible to get, and you can't guarantee other schools teach topics in the same order or even include the same array of topics in a particular exam. Your school's past papers for that particular exam might also be very handy.
With trig functions, you're best served asking for your teacher's help or trawling through unsorted resources on your own, while for differentiation I seem to recall there being a worksheet with 100 integrals, so there might be something similar for differentiation. Otherwise, it might be easier to do something similar to searching for trig resources.
Good luck with your exam!