up to / grown
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to be up to something
To have the abilities, strength, or mental resources to successfully handle a particular task, challenge, or difficult situation.
Sie ist der neuen Verantwortung als Teamleiterin voll und ganz gewachsen.
She is fully up to the new responsibility as team leader.
'Gewachsen' is the past participle of the verb 'wachsen' (to grow). This origin helps explain both meanings: you have 'hineingewachsen' (grown into) a task, meaning you have developed the necessary abilities, or a structure has 'gewachsen' (grown) over time, meaning it has developed naturally.
Er ist mit seinen Aufgaben gewachsen und leitet nun das ganze Team.
He has grown with his tasks and now leads the entire team.
The two meanings are easy to distinguish grammatically. The meaning 'to be capable' always appears in the fixed expression 'einer Sache (Dativ) gewachsen sein' (to be up to something). The meaning 'naturally developed' is used like a normal adjective before a noun.
Er ist dem Druck nicht gewachsen.
He is not up to the pressure.
In this meaning, the challenge or task is always in the dative. The structure is: person (nominative) + sein + challenge (dative) + gewachsen.
Ich bin dieser komplexen Aufgabe leider nicht gewachsen.
Unfortunately, I am not up to this complex task.
You are typically 'einer Aufgabe' (up to a task), 'einer Herausforderung' (up to a challenge), 'dem Druck' (up to the pressure), or 'der Situation' (up to the situation) gewachsen.
Die junge Sportlerin war der nervlichen Belastung im Finale nicht gewachsen.
The young athlete was not up to the mental strain in the final.
This meaning is often combined with abstract nouns that describe development over time. Typical phrases are 'eine gewachsene Struktur' (an evolved structure), 'eine gewachsene Freundschaft' (a friendship that has grown over time), or 'gewachsene Traditionen' (long-established traditions).
Das Viertel hat einen besonderen Charme durch seine gewachsenen Strukturen.
The neighborhood has a special charm because of its evolved structures.
natural / of course
'natürlich' and 'gewachsen' can both express that something is not artificially made or not artificially planned. 'natürlich' is broader: it can mean that something comes from nature, does not seem artificial, or is relaxed and unaffected. 'gewachsen' more often means that something has developed over a longer period of time, step by step and not according to a fixed plan. This often fits traditions, city districts, groups, or structures. Learners may confuse the words because both stand in contrast to 'künstlich' (artificial). 'natürlich' describes more the type or origin; 'gewachsen' describes more the development over time.
In dem alten Viertel gibt es gewachsene Nachbarschaften.
In the old neighborhood, there are long-established communities.
Diese Seife enthält nur natürliche Öle und keine künstlichen Farben.
This soap contains only natural oils and no artificial colors.