.. _auto_curves_derive:

*COMPUTE THE DERIVATIVE OF CURVES*
==================================

Computes the numerical derivative of one or more input curves (dy/dx). Use this worker whenever you need rate-of-change signals — e.g. velocity from displacement, acceleration from velocity, or force-rate from a force–time history.

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

Classification: **process**.

Tagged: ``curve``, ``derivative``, ``differentiation``, ``dy/dx``, ``rate_of_change``, ``signal``, ``transform``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve 1
     - curve1
     - vector
     - —
     - 
     - One or more input curves (x–y vector pairs) to differentiate; accepts multiple curves in a single pass — leave unconnected only if downstream logic supplies curves dynamically.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curves_derive_output_1
     - curves_derive_output_1
     - vector
     - Derived curve(s) (x–y vector pairs) whose y-values represent dy/dx of the corresponding input curve(s), sampled at the same x-points as the input.

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=curves_derive <https://www.d3view.com/api/workflow/example?id=curves_derive>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_derive</code>. Schema hash: <code>8914cc67d5b0</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>