Homework 12:
Due Wednesday 7/9/14
1. What is the average rate of change of f (x) = x3 on the interval [−1, 2]?
2. Calculate the difference quotient for the following functions and simplify your answer.
• f (x) = −9x + 2
• f (x) = sin(x)
• f (x) = 3x2 + x
3. What is the instantaneous rate of change of f (x) = 3x2 + x at x = 2?
4. If I go running and my distance as a function of time is given by d(t) = t2 , what is
my velocity at the instant t = 3?
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