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Write a script newquot.m that uses the Newton quotient, [f (x + h) f (x)]/h, to estimate the first derivative of f (x) = x3 at x = 1, using...

Write a script newquot.m that uses the Newton quotient, [f (x + h) − f (x)]/h, to estimate the first derivative of f (x) = x3 at x = 1, using successively smaller values of h: 1, 10−1, 10−2, and so forth. Use a function M-file for f (x).

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