2. Using the Newton's forward difference formula, find f'(1.5) from the following data. 1.0 1.5 2.0 2.5 Ax) 3.7183 5.4817 8.3891 13.1825 Find the magnitude of the actual error, if the data represents...

m5.2 Solve for the following equations. Use the method indicated. Show a complete solution.

Extracted text: 2. Using the Newton's forward difference formula, find f'(1.5) from the following data. 1.0 1.5 2.0 2.5 Ax) 3.7183 5.4817 8.3891 13.1825 Find the magnitude of the actual error, if the data represents the function e* + 1. Try to solve also using Newton's backward difference and compare your answer.