Final answer:
To estimate the second derivative using a backward difference formula, we can use Taylor series to derive the formula. The formula for the second derivative is (f(x) - 2f(x-h) + f(x-2h)) / h^2, where h is the step size. This formula provides an approximation of the second derivative at a specific point.
Step-by-step explanation:
To estimate the second derivative using a backward difference formula, we can use Taylor series. The formula for the second derivative is:
f''(x) = (f(x) - 2f(x-h) + f(x-2h)) / h^2
where h is the step size. This backward difference formula provides an approximation of the second derivative of a function at a given point.