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Home > PC > Chapter 9 > Lesson 9.3.4 > Problem 9-145

9-145.
  1. Let f(x) = x3. Homework Help ✎

    1. Find the average rate of change from x = 3 to x = 5.

    2. Show that the average rate of change from x = 4 to x = 4 + h is 48 + 12h + h2.

    3. Find f ′(4), the instantaneous rate of change when x = 4.

    4. Show that the average rate of change from x to x + h is 3x2 + 3xh + h2.

    5. Find f ′(x),the instantaneous rate of change for any value of x.