3. The accuracy of an approximation is given by Error = |exact value approximate value|. Use the exact value of f '(4) in part (a) to complete columns 3 and 6 in Table 1. Describe the behavior of the errors as h approaches 0. Centered Difference Quotients Another formula that is used to approximate the derivative of a function at a point is the centered difference quotient (CDQ) f'(a) z W (2) 4. Again consider f (x) = E . a. Graph f near the point (4, 2) and let h = 1/ 2 in the centered difference quotient. Show the line Whose slope is computed by the centered difference quotient and explain why the formula approximates f '(4). b. Use the centered difference formula to approximate f '(4) by completing Table 2. h Approximation Error 0.1 0.01 0.001 0.0001 Table 2 c. Explain why it is not necessary to use negative values of h in Table 2. (1. Compare the accuracy of the derivative estimates in part (b) with those found in Steps 2 and 3