4 ms·
> with no other information we can only plump for "in the middle". This is because the derivative of e^x is e^x, so when undergoing exponential growth the rate
by grkvlt 9y ago
> with no other information we can only plump for "in the middle".
This is because the derivative of e^x is e^x, so when undergoing exponential growth the rate of change tells us nothing about where we are on that curve. And this is also why people (not GP, of course) who talk about the 'knee' in an exponential graph really annoy me...!
- smaddox 9y agoDoesn't that mean the rate of change tells you exactly where you are on the curve? Just solve for X. Of course, there's no reason to think invention should follow an exponential over the long term...