Confirmation of Tangent Derivative Formula: Figure 4-4b a. Sketch the graph. Without

Chapter 4, Problem 31

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Confirmation of Tangent Derivative Formula: Figure 4-4b a. Sketch the graph. Without using your grapher, sketch what you think the graph of the derivative, , would look like. b. Find an equation for (x). Plot the graphs of f and on the same screen. Did the you predicted look like the actual one? If not, write down where your thinking went astray and what you learned from this problem. c. Calculate the symmetric difference quotient for (1), using x = 0.01. How close is the answer to the actual value of (1)?

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