§19.18 Derivatives and Differential Equations
►
§19.18(i) Derivatives
…
►Let
, and
be an
-tuple with 1 in the
th place and 0’s elsewhere.
…
►
19.18.14
…
►
19.18.15
…
§10.38 Derivatives with Respect to Order
…
►
10.38.2
.
…
►For
at
combine (
10.38.1), (
10.38.2), and (
10.38.4).
►
10.38.4
…
►
…
§7.10 Derivatives
►
7.10.1
.
…
►
►
…
►
§1.5(i) Partial Derivatives
…
►The function
is
continuously differentiable if
,
, and
are continuous,
and
twice-continuously differentiable if also
,
,
, and
are continuous.
…
►
Chain Rule
…
►Suppose that
are finite,
is finite or
, and
,
are continuous on the partly-closed rectangle or infinite strip
.
…
►
§1.5(vi) Jacobians and Change of Variables
…
…
►
12.17.2
…
►
12.17.4
…
►
►
►
…
§22.13 Derivatives and Differential Equations
►
§22.13(i) Derivatives
►
Table 22.13.1: Derivatives of Jacobian elliptic functions with respect to variable.
►
►
►Note that each
derivative in Table
22.13.1 is a constant multiple of the product of the corresponding copolar functions.
…
►
22.13.1
…