Asked by Sara
How would I find the instantaneous rate of change using this formula y=3.9657(0.9982^x) and given a table of values?
Answers
Answered by
Steve
y = ab^x
ln y = lna + x lnb
1/y y' = ln b
y' = y ln b
The instantaneous rate of change is just (ln b) times the current value.
That is the very definition of exponential change. The rate of change is proportional to the current value.
ln y = lna + x lnb
1/y y' = ln b
y' = y ln b
The instantaneous rate of change is just (ln b) times the current value.
That is the very definition of exponential change. The rate of change is proportional to the current value.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.