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The first derivativeis the steepness of the curve at every X value. The derivative is positive when the curve heads uphill and is negative when the curve heads downhill. The derivative equals zero at peaks and troughs in the curve. After calculating the numerical derivative, Prism can smooth the results, if you choose. … See more If you import a curve from an instrument, you may wish to smooth the data to improve the appearance of a graph. Since you lose data when you smooth a curve, you should not smooth a curve prior to nonlinear regression … See more Smoothing a curve can be misleading. The whole idea is to reduce the "fuzz" so you can see the actual trends. The problem is that you can see "trends" that don't really exist. The three graphs in the upper row below are simulated … See more 1. A. Savitzky and M.J.E. Golay, (1964). Smoothing and Differentiation of Data by Simplified Least Squares Procedures. Analytical Chemistry 36 (8): 1627–1639 See more •The first derivative is calculated as follows (x, and Y are the arrays of data; x' and y' are the arrays that contain the results). x'[i] = (x[i+1] + x[i]) / 2 y' at x'[i] = (y[i+1] - y[i]) / (x[i+1] - x[i]) •The second derivative is computed by … See more http://www.graphpadpro.com/english the bureau of jail management and penology
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