This is a Numerical Analysis Class

2. Let f(20) = ln x and assume that we only have access to the specific values given in the table below: 1.60 2.00 2.40 .4700036292 0.69314718 .8754687374 In x (a) (3 points) Use the most accurate method (among those discussed in class) to approximate f'(2.0) (b) (4 points) Use the error term for the approximation method you chose to find an upper bound for the error in the approximation you found in part (a). (c) (3 points) Compute the actual absolute error of your approximation and compare it to your computed error bound. 2. Let f(20) = ln x and assume that we only have access to the specific values given in the table below: 1.60 2.00 2.40 .4700036292 0.69314718 .8754687374 In x (a) (3 points) Use the most accurate method (among those discussed in class) to approximate f'(2.0) (b) (4 points) Use the error term for the approximation method you chose to find an upper bound for the error in the approximation you found in part (a). (c) (3 points) Compute the actual absolute error of your approximation and compare it to your computed error bound