derivation|derivations

'教师'这个词是从'教'这个根词衍生而来的。

The word 'teacher' is a ___derivation from the root word 'teach'.

学生需要理解这个定理的推导过程才能解决更复杂的问题。

Students need to understand the ___derivations of this theorem to solve more complex problems.

这个词的词源追溯可以解释它现在的意义。

The ___derivation of this word's meaning can explain its current usage.