Consider the function f(x) = eª sin(3x). 1. Compute the exact derivative f'(x) using analytical methods. 2. Use the Central Difference Formula to approximate f'(1) with a step size h = 0.01. The Central Difference Formula is given by: ƒ'(x) ≈ f(x + h) − ƒ(x – h) 2h Compare the results obtained in parts 1 and 2. What are the implications for the accuracy of numerical differentiation methods?

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