deriv1¶

deriv1(h, y, /, axis=0, accuracy=2, keepleft=False, keepright=False, keepedges=False)[source]¶

Return an estimate of the first derivative along an arbitrary axis using first order centered finite differencing.

Parameters

h (float or array-like) – The step size. If non-singleton, the step size is h[1] - h[0].
y (array-like) – The data.

axisint, optional: Axis along which derivative is taken.
dimstr, optional: For `xarray.DataArray` input only. Named dimension along which the derivative is taken.
accuracy{{0, 2, 4, 6}}, optional: Accuracy of finite difference approximation. 0 corresponds to differentiation onto half-levels. 2, 4, and 6 correspond to centered accuracies of \(h^2\), \(h^4\), and \(h^6\), respectively. See this wikipedia page for the table of coefficients for each accuracy.
keepleft, keepright, keepedgesbool, optional: Whether to fill left, right, or both edge positions with progressively lower-accuracy finite difference estimates to prevent reducing the dimension size along axis axis.

Returns: diff (array-like) – The “derivative”. The length of axis axis may differ from y depending on the keepleft, keepright, and keepedges settings.