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differentiation

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differentiation [Mon Jun 3 15:41:39 2013] Alexander |
differentiation [Sun Nov 8 12:21:24 2015] |
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- | ====== Differentiation (Pro edition only) ===== | ||

- | Open Table or Figure or Plot with initial data and use ''Processing -> Differentiate'' menu item. | ||

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- | {{:differentiate.png?nolink|}} | ||

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- | ===== Formula ===== | ||

- | To perform differentiation you should specify two columns: //x// and //y//. Missing values are ignored. | ||

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- | MagicPlot uses [[wp>Finite_difference|central difference]] formula to compute the derivative: | ||

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- | <m>{y prime}_i = 1/2 ({y_{i+1} − y_i}/{x_{i+1} − x_i} + {y_i − y_{i − 1}}/{x_i − x_{i − 1}}),~ i=2...N − 1</m> | ||

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- | First and last points (//i//=1 and //i=N//) are computed as follows: | ||

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- | <m>{y prime}_1 = {y_2 − y_1}/{x_2 − x_1} ,~~ {y prime}_N = {y_N − y_{N − 1}}/{x_N − x_{N − 1}}</m> | ||

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- | ===== See Also ===== | ||

- | * [[processing]] | ||

- | * [[Integration]] |

differentiation.txt · Last modified: Sun Nov 8 12:21:24 2015 (external edit)

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