The first derivative of a function f(x) can be approximated using the difference approximation formula P(2)~+(o+h)- f(2) where h is small. Suppose you apply this formula to the function f(x) = ? in a floating-point system with 4 significant digits. At the point x = 3.253 and taking h= 0.002 the difference formula gives subtractive 0.02 Cancellation 3.2552 - 3.2532 10.60 - 10.58 0.002 0.002 0.002 = 10.00 magnified Using the actual derivative f'(x) = 2x, the exact value is f' (3.253) = 6.506. What is the best explanation for what happened here? The derivative of f(x) is undefined near the point x= 3.253 The difference formula is not a good approximation of f'(x)? There was alarge round-off error in the last step of the calculation )Asubtractive cancellation error occurred, and was then magnified by a large multiple