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Derivative at a point

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Average Rate of Change of A Continuous Function on a Closed Interval

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Exercise 1 Let f(x)=x 2 1. Calculate the average rate of change of the function y=f(x) on each of the intervals below. Interpret the answers geometrically. a. [2,2.05] b. [1.93, 2]

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Exercise 1 Let f(x)=x 2 2. Write a mathematical expression to represent the average rate of change of the function y=f(x) on each of the intervals below. a. [2, b] b. [2,2+h], h>0 c. [c,2] d. [2+h,2], h