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Yes. To find the slope of the tangent line you would have to either take a very small time step and divide the difference of the variables at those two time values and divide them by the time step. Another way to do it would be to take the limit of the difference of the variables at two times divided by the difference of the time which gives the average rate of change. Taking the limit as time goes to zero will minimize the time difference and give the instantaneous speed. This is also done by taking the derivative at that point if a function is given which is the same as taking the limit of the function.
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