Write a program to calculate the derivative of an arbitrary input function with

Question

Write a program to calculate the derivative of an arbitrary input function with arbitrary duration and arbitrary limits. Remember to check that you start calculating at least at the second point of data. Test your program on a simulated time-domain signal.

Explanation / Answer

public: virtual Double __gc* cubicSpline2ndDifferential(Double __gc* tabPoints __gc [], Double __gc* funcVals __gc [], Double __gc* dervAt0X, Double __gc* dervAtN) __gc [] { Double __gc* place; Double __gc* holder; Int32 __gc* num = Math::Min(tabPoints->Length, funcVals->Length); Double __gc* helpArray __gc [] = __gc new Double __gc*[num]; Double __gc* returnArray __gc [] = __gc new Double __gc*[num]; if (dervAt0X> 9.9E+29) { returnArray[0] = helpArray[0] = 0; } else { returnArray[0] = -0.5; helpArray[0] = ((3 / (tabPoints[1] - tabPoints[0])) * (((funcVals[1] - funcVals[0]) / (tabPoints[1] - tabPoints[0])) - dervAt0X)); } for (Int32 __gc* i = 1; (i 9.9E+29) { place = holder = 0; } else { place = 0.5; holder = ((3 / (tabPoints[(num - 1)] - tabPoints[(num - 2)])) * (dervAtN - ((funcVals[(num - 1)] - funcVals[(num - 2)]) / (tabPoints[(num - 1)] - tabPoints[(num - 2)])))); } returnArray[(num - 1)] = ((holder - (place * helpArray[(num - 2)])) / ((place * returnArray[(num - 2)]) + 1)); for (Int32 __gc* j = (num - 2); (j>= 0); j--) { returnArray[j] = ((returnArray[j] * returnArray[(j + 1)]) + helpArray[j]); } return returnArray;

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