Compute forward and backward difference approximations of O(h) and O(h?) , and central difference approximations of O(h?) and O(ht) for the first derivative of y = sin x at X= using a value of h = Given the true value is 0.7071. Estimate the true 12 percent relative error & for each approximation: Use high-accuracy differentiation formula O(ht_ to estimate the first derivative of {(x) log X Evaluate at x = 20 with h = 2. Use centered difference approximation to estimate the first and second derivatives of f(x) = e* at x = for h = 0.1. Given the data 0.8 1.0 0.97987 0.91777 0.80803 0.63861 0.38437 Use forward and backward difference approximations of O(h) and centered difference approximation of O(h?) to estimate f(0.4) and f"(0.4) using a step size 0.2_
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Compute forward and backward difference approximations of O(h) and O(h^2), and central difference approximations of O(h^2) and O(h^4) for the first derivative of y = sin x at X=π/4 using a value of h = 0.1. Given the true value is 0.7071. Estimate the true 12 Show more…
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