grew out of/derived from/resulted from

[angliholic]

Teresa's dream to become a dancer grew out of her love of dancing.


HI,
Is "grew out of" in the above interchangeable with "derived from" and "resulted from?" Thanks.

[banderas]

Teresa's dream to become a dancer grew out of her love of dancing.


HI,
Is "grew out of" in the above interchangeable with "derived from" and "resulted from?" Thanks.

In this case
to grow out of=to develop or come into existence from

derive is not perfrct here as becoming a dancer is a process which took long time, so develope sounds better.