Expression 6: StartFraction, "f" left parenthesis, 100 , right parenthesis minus "f" left parenthesis, 98 , right parenthesis Over 100 minus 98 , EndFractionf100−f98100−98
6
Expression 7: StartFraction, "f" left parenthesis, 100 , right parenthesis minus "f" left parenthesis, 99 , right parenthesis Over 100 minus 99 , EndFractionf100−f99100−99
7
Can more easily approximate instantaneous velocity by using a slider or variable like this:
8
Expression 9: StartFraction, "f" left parenthesis, 100 plus "h" , right parenthesis minus "f" left parenthesis, 100 , right parenthesis Over "h" , EndFractionf100+h−f100h
9
Let h get really close to 0 to see better and better estimates of the instantaneous rate of change in the year 2000.