Question: Assume we are using the forward difference formula to compute the derivative of the function f(x) = x 2 - 5, at the point x

Assume we are using the forward difference formula to compute the derivative of the function f(x) = x² - 5, at the point x = 3, using a step size of 0.0001. Assume we are using single precision to store our numbers. What type of error is dominating and what should we do to minimize the total error in the derivative?

Select one:

a. Round-off error dominates, and we should increase the step size to decrease the error.

b. Round-off error dominates, and we should reduce the step size to decrease the error.

c. Truncation error dominates, and we should reduce the step size to decrease the error.

d. Truncation error dominates, and we should increase the step size to decrease the error.

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