
feststellbar
detectable
Something that can be perceived, recognized, proven, or determined.
Bei der Untersuchung waren keine feststellbaren Mängel am Gerät zu finden.
During the inspection, no detectable defects could be found on the device.
detectable / lockable
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detectable
Something that can be perceived, recognized, proven, or determined.
Bei der Untersuchung waren keine feststellbaren Mängel am Gerät zu finden.
During the inspection, no detectable defects could be found on the device.

lockable
Describes a mechanical part that can be locked or blocked in a certain position so that it no longer moves.
Die Vorderräder des Kinderwagens sind feststellbar, was auf unebenem Gelände praktisch ist.
The front wheels of the stroller are lockable, which is practical on uneven terrain.
The word is based on the verb 'feststellen' (to determine / to lock in place) and the ending '-bar' (-able), which means 'possible'. 'Feststellbar' therefore literally means 'can be festgestellt'. This fits both meanings: something can be determined or mechanically fixed.
Die Ursache des Problems war nicht sofort feststellbar.
The cause of the problem was not immediately detectable.
You can recognize the meaning from the noun. If it is about abstract things like errors, differences, or facts, 'erkennbar' (recognizable/detectable) is meant. If it is about mechanical parts like wheels or levers, 'arretierbar' (lockable) is meant.
Ein leichter Anstieg der Temperatur war feststellbar.
A slight increase in temperature was detectable.
In the meaning 'erkennbar' (recognizable/detectable), the word is often used in formal language or reports. It often appears in negative sentences to express that something could not be proven.
Mit bloßem Auge war kein Unterschied feststellbar.
No difference was detectable with the naked eye.
In the meaning 'arretierbar' (lockable), the adjective almost always describes a technical function of an object. Typical examples are 'feststellbare Räder' (lockable wheels) or 'eine feststellbare Bremse' (a lockable brake).
Der Koffer hat vier feststellbare Rollen.
The suitcase has four lockable wheels.
recognizable
Erkennbar and feststellbar can both describe existing damage. Erkennbar suggests that it can be directly perceived or identified. Feststellbar is broader and also applies when the damage is discovered only through a targeted inspection or measurement.

Der Wasserschaden ist mit einem Feuchtigkeitsmessgerät feststellbar.
The water damage can be detected with a moisture meter.
Der Wasserschaden ist an den dunklen Flecken klar erkennbar.
The water damage is clearly visible in the dark spots.