User Manual

100 Alphabetical Listing
nDerivative()
Catalog >
Note: The nDerivative() algorithm has a
limitiation: it works recursively through the
unsimplified expression, computing the
numeric value of the first derivative (and
second, if applicable) and the evaluation of
each subexpression, which may lead to an
unexpected result.
Consider the example on the right. The first
derivative of x•(x^2+x)^(1/3) at x=0 is equal
to 0. However, because the first derivative
of the subexpression (x^2+x)^(1/3) is
undefined at x=0, and this value is used to
calculate the derivative of the total
expression, nDerivative() reports the result
as undefined and displays a warning
message.
If you encounter this limitation, verify the
solution graphically. You can also try using
centralDiff().
newList()
Catalog >
newList(numElements) ⇒ list
Returns a list with a dimension of
numElements. Each element is zero.
newMat()
Catalog >
newMat(numRows, numColumns) ⇒
matrix
Returns a matrix of zeros with the
dimension numRows by numColumns.
nfMax()
Catalog >
nfMax(Expr, Var) ⇒ value
nfMax(Expr, Var, lowBound) ⇒ value
nfMax(Expr, Var, lowBound, upBound) ⇒
value
nfMax(Expr, Var) |
lowBound≤Var≤upBound ⇒ value