Question: Please solve question no.3 and show a clear and readable solution. Thanks!!! I. Taylor Series Expansion 3. Use forward and backward difference approximations of O(h)

Please solve question no.3 and show a clear and readable solution. Thanks!!!

Please solve question no.3 and show a clear and readable solution. Thanks!!!

I. Taylor Series Expansion 3. Use forward and backward difference approximations of O(h) and a centered difference approximations of O(h2) to estimate the first derivative of the function f(x) = 25x3 - 6x2 + 7x - 88 at x =2 using a step size h = 0.25. Compare your results with the true value of the derivative. Interpret your results on the basis of the remainder term of the Taylor series expansion

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