utv_probe_derivatives
=====================

.. py:function:: t3toolbox.backend.utv_sampling.utv_probe_derivatives(ww, pp, frame_data, variations_data, order)

   .. code-block:: python

      def utv_probe_derivatives(
              ww,               # probe vectors X,        len=d, ith elm_shape=W+(Ni,)
              pp,               # perturbation vectors P, len=d, ith elm_shape=W+(Ni,)
              frame_data,       # UT3Frame .data
              variations_data,  # UT3Variations .data
              order,            # highest derivative order
      ):  # -> MIRRORS ww: ragged -> len=d tuple ((order+1,)+W+K+C+(Ni,)); packed -> (d,)+(order+1,)+W+K+C+(N,)


   Symmetric probe derivatives of a uniform tangent vector (the bare ``𝒥``): mask-once, share
   ``sampling_derivatives.tv_probe_derivatives``. **Mirrors** ``ww``'s packedness.