I am looking to replace "exponential" in the following sentence:
"The development of new technology in this field tends to follow an (exponential) trend."
In mathematics, there are many functions which are not exponential but still increase faster than linear functions. What would be a good word/phrase to represent a trend that is growing faster than a linear function and is still open to the possibility of increasing faster or slower than an exponential function?
The first word that comes to mind is non-linear, but this term also leaves open the possibility that the trend is increasing slower than a linear function, and I would like to avoid this ambiguity.