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Explore the accuracy of SDQ and difference quotients in approximating derivatives with h=0.001. Compare with actual values for insights.
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t 20 5,000 10,000 M Time (min) 0 y x -1 1 2 3 1 2 3 4
Further Insights and Challenges 20 5,000 10,000 M Time (min) 0 y x -1 1 2 3 1 2 3 4 t 72. The SDQ usually approximates the derivative much more closely than does the ordinary difference quotient. Let Compute the SDQ with h = 0.001 and the ordinary difference quotients with h = ±0.001. Compare with the actual value, which is
