"develop rapidly" is a correct and usable phrase in written English.
Example sentence: The company's profits have developed rapidly over the past two months.
After the formation of the district head quarters, the economic development was boosted and began to develop rapidly.
Destructive changes develop rapidly.
Spots and rots develop rapidly in warm, moist storage.
That said, Youngs continues to develop rapidly and iron out problems with his game.
Friendships develop rapidly, because full-timers know they will be moving on.
These eggs develop rapidly into miniatures of the adult, skipping the larval stages.
Today, it continues to change and develop rapidly, not least because of modern digital technology.
But Brazil again has pockets in their country that like us have to develop rapidly.
Microsoft says its software must operate with other kinds of online authentication software if Internet commerce is to develop rapidly.
It's important to keep in close contact with the volunteers, because schedule conflicts develop rapidly.
Technology itself continues to develop rapidly, but both the United States and China want to go it alone.
