.. _auto_curve_derivative_x_y:

*DERIVE THE CURVE BASED ON X AND Y POINTS*
==========================================

Computes the derivative of a curve constructed by cross-plotting separate X-point and Y-point curves. The two input curves are first combined into a single (x, y) curve via a cross-plot operation, and then numerically differentiated. Use this worker when your independent and dependent axis data are stored in separate curve vectors.

When to use
-----------

Classification: **process**.

Tagged: ``cross_plot``, ``curve_transform``, ``derivative``, ``numerical_differentiation``, ``x_y_points``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curvewith_x-points
     - vector
     - —
     - 
     - Curve vector supplying the independent-axis (X) values; if a CurveGroup is provided, only the first curve is used.
   * - Curve
     - curvewith_y-points
     - vector
     - —
     - 
     - Curve vector supplying the dependent-axis (Y) values; if a CurveGroup is provided, only the first curve is used. Must have the same number of points as the X curve.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - curve_derivative_x_y_output_1
     - curve_derivative_x_y_output_1
     - vector
     - Resulting derivative curve (dy/dx) computed from the cross-plotted X and Y input curves, returned as a vector of the same domain length minus one (finite-difference intervals).

Disciplines
-----------

- data.curve.transform
- data.signal_processing

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curve_derivative_x_y <https://www.d3view.com/api/workflow/example?id=curve_derivative_x_y>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_derivative_x_y</code>. Schema hash: <code>69c936081f7c</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>