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Home > PC3 > Chapter 11 > Lesson 11.2.2 > Problem 11-105

11-105.

Let .

  1. Calculate the average rate of change from to .

  2. Show that the average rate of change from to is .

  3. Evaluate the expression from part (b) as to determine the instantaneous rate of change when .

  4. Show that the average rate of change from to is .

  5. Evaluate the expression from part (d) as to write an expression for the instantaneous rate of change for any value of .