d() (derivative)
Catalog >
d(Expr1, Var[, Order]) ⇒ expression
d(List1, Var[, Order]) ⇒ list
d(Matrix1,Var[, Order]) ⇒ matrix
Returns the first derivative of the first
argument with respect to variable Var.
Order, if included, must be an integer. If
the order is less than zero, the result will be
an anti-derivative.
Note: You can insert this function from the
keyboard by typing derivative(...).
d() does not follow the normal evaluation
mechanism of fully simplifying its
arguments and then applying the function
definition to these fully simplified
arguments. Instead, d() performs the
following steps:
1. Simplify the second argument only to
the extent that it does not lead to a
non-variable.
2. Simplify the first argument only to the
extent that it does recall any stored
value for the variable determined by
step 1.
3. Determine the symbolic derivative of
the result of step 2 with respect to the
variable from step 1.
If the variable from step 1 has a stored
value or a value specified by the constraint
(“|”) operator, substitute that value into
the result from step 3.
Note: See also Firstderivative, page 9;
Secondderivative, page 10; or
Nthderivative,page 10.
∫() (integral)
Catalog >
∫(Expr1, Var[,Lower,Upper]) ⇒
expression
∫(Expr1,Var[,Constant]) ⇒ expression
Symbols 217