Derivative |
m D. n u D. n mu |

u D. n is the n-th derivative of u,
and u`v D. n is u with an assigned n-th
derivative v . For example:
(cube D.1;cube D.2; (cube=: ^&3"0) D.3)y=: 2 3 4 +--------+--------+-----+ |12 27 48|12 18 24|6 6 6| +--------+--------+-----+ |

The derivative applies to constant functions, polynomials, the exponential

If the argument rank of

volume=: */"1 VOLUMES=: */\"1 (volume;volume D.1;VOLUMES;VOLUMES D.1) y +--+------+------+------+ |24|12 8 6|2 6 24|1 3 12| | | | |0 2 8| | | | |0 0 6| +--+------+------+------+ determinant=: -/ . * permanent=: +/ . * (];(determinant D.1);(permanent D.1))m=:*:i.3 3 +--------+--------------+--------------+ | 0 1 4|_201 324 _135|2249 1476 1017| | 9 16 25| 132 _144 36| 260 144 36| |36 49 64| _39 36 _9| 89 36 9| +--------+--------------+--------------+The adverbs

sin=: 1&o. x=: 0.5p1 _0.25p1 (*/\ VD y);(sin x);(sin D x);(sin D D x) +------+-----------+----------+-----------+ |1 3 12|1 _0.707107|0 0.707107|_1 0.707107| |0 2 8| | | | |0 0 6| | | | +------+-----------+----------+-----------+

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