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In that case, the rate of change changes all the time as well. In the following, I use the symbol "^" for powers. The derivative (rate of change) of the function:

2^x

is:

ln 2 times 2^x

(where ln 2 is the natural - base-e - logarithm of 2).

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Q: What would the rate of change be if it was doubling every time?
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