Question: Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y=sinx at

Compute forward and backward difference approximations of O(h) and O(h2), and

Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y=sinx at x=/4 using a value of h=/12. Estimate the true percent relative error t for each approximation. (Round the final answers to five decimal places and the percent relative error to two decimal places.) The results are summarized as follows

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