TI-Nspire™ Reference Guide 67
nDerivative()
Catalog
>
nDerivative(Expr1,Va r = Va lu e [,Order]) ⇒ value
nDerivative(
Expr1,Va r [,Order]) | Va r= Val ue ⇒ value
Returns the numerical derivative calculated using auto differentiation
methods.
When Val u e is specified, it overrides any prior variable assignment or
any current “with” substitution for the variable.
If the variable Va r does not contain a numeric value, you must
provide Va l ue .
Order of the derivative must be
1 or 2.
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, Va r) ⇒ value
nfMax(Expr, Va r, lowBound) ⇒ value
nfMax(Expr, Va r, lowBound, upBound) ⇒ value
nfMax(Expr, Var) | lowBound<Var <upBound ⇒ value
Returns a candidate numerical value of variable Va r where the local
maximum of Expr occurs.
If you supply lowBound and upBound, the function looks between
those values for the local maximum.
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