entdecken
to discover
To find something or someone that was previously unknown.
Marie Curie hat das Element Radium entdeckt.
Marie Curie discovered the element radium.

to discover
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to discover
To find something or someone that was previously unknown.
Marie Curie hat das Element Radium entdeckt.
Marie Curie discovered the element radium.

The verb 'entdecken' literally means 'to free something from its cover' or 'to uncover'. The prefix 'ent-' means 'away' here, and 'decken' means 'to cover'. This origin helps you understand the meaning 'to find something hidden or unknown'.
Archäologen haben eine alte Ruine unter der Erde entdeckt.
Archaeologists discovered an old ruin underground.
The prefix 'ent-' is inseparable. It remains firmly attached to the verb 'decken' in all sentence forms and tenses and is never placed at the end of the sentence.
Ich habe entdeckt, dass ich gerne koche.
I discovered that I like cooking.
The object of the verb gives a clue to the exact meaning. Major scientific finds are, for example, 'einen Planeten entdecken' (to discover a planet). Personal, chance finds are 'einen Fehler entdecken' (to discover an error). Abstract realizations are 'eine Leidenschaft entdecken' (to discover a passion).
Der Wissenschaftler hat eine neue Spezies entdeckt.
The scientist discovered a new species.
This meaning is often used for personal and abstract things. Typical combinations are 'seine Leidenschaft für etwas entdecken' (to discover one's passion for something), 'ein Talent entdecken' (to discover a talent), or 'eine neue Seite an sich entdecken' (to discover a new side of oneself).
Er hat seine Liebe zur Natur beim Wandern entdeckt.
He discovered his love of nature while hiking.
to find
'finden' and 'entdecken' can both mean that you see or notice something that was not there before or was not known before. 'finden' is more general and works well when you have searched for something or come across it again by chance. 'entdecken' puts more emphasis on something being new, hidden, or surprising. That is why 'entdecken' sounds more natural with an unknown place, an error, a secret, or something interesting. Learners can easily confuse the words because in both cases you end up noticing something. If only the result is important, 'finden' often fits; if the new or surprising aspect is important, 'entdecken' is usually better.

Auf dem alten Foto entdeckt die Kundin einen kleinen Fehler.
In the old photo, the customer discovers a small mistake.
Der Lehrer findet den fehlenden Zettel in seiner Tasche.
The teacher finds the missing note in his bag.