derzeitig
current
Referring to the present; happening, existing, or valid at the moment.
Die derzeitige wirtschaftliche Lage macht vielen Unternehmen Sorgen.
The current economic situation is worrying many companies.

current
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current
Referring to the present; happening, existing, or valid at the moment.
Die derzeitige wirtschaftliche Lage macht vielen Unternehmen Sorgen.
The current economic situation is worrying many companies.

The adjective 'derzeitig' (current) is derived from the adverb 'derzeit' (at the moment, currently). The ending '-ig' turns the time adverb into an adjective that describes something. This pattern can also be found with other adverbs such as 'heute' (today) → 'heutig' (today's, current).
Der derzeitige Stand der Technik erlaubt noch keine schnellere Lösung.
The current state of technology does not yet allow for a faster solution.
'Derzeitig' (current) is almost always used as an attributive adjective directly before a noun. Predicative use, meaning after a verb like 'sein' (to be), is very unusual and sounds unnatural.
Die derzeitige Situation erfordert schnelles Handeln.
The current situation requires quick action.
This adjective is often combined with nouns that describe a state or circumstance. Typical examples are 'die derzeitige Lage' (the current situation), 'die derzeitige Situation' (the current situation), or 'der derzeitige Stand' (the current state/status).
Mein derzeitiger Wohnort ist Berlin.
My current place of residence is Berlin.
current
'aktuell' and 'derzeitig' both mean that something applies now or exists in the present. 'aktuell' sounds more general and fits especially well with information, news, prices, or topics that are important right now. 'derzeitig' more strongly describes a state during this period, for example 'die derzeitige Lage' (the current situation), 'die derzeitige Adresse' (the current address), or 'der derzeitige Plan' (the current plan). It often sounds somewhat more formal than 'aktuell'. In everyday language, 'aktuell' is usually more natural; in reports or official texts, 'derzeitig' works well.

Die derzeitige Planung wird nächste Woche noch einmal besprochen.
The current planning will be discussed again next week.
Heute zeigt mir meine Schwester die aktuellen Angebote im Supermarkt.
Today my sister shows me the current offers at the supermarket.