I am noticing this rate is particularly interesting to those who study financial mathematics; thus far I've seen it as force of interest as well as modified duration.
Compared to other rates of growth I've seen commonly used in natural sciences, this expression seems to give us so much more information (we're not just looking at the slope, but the slope relative to the value of the function at the point of interest), so why is it not the rate of choice in the natural sciences, say, for something like population growth which is typically expressed as
[pop(time 2) - pop(time 1)]/pop(time 1) ?
Compared to other rates of growth I've seen commonly used in natural sciences, this expression seems to give us so much more information (we're not just looking at the slope, but the slope relative to the value of the function at the point of interest), so why is it not the rate of choice in the natural sciences, say, for something like population growth which is typically expressed as
[pop(time 2) - pop(time 1)]/pop(time 1) ?
General Query About f'(x)/f(x)
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