Texas Instruments TI-82 STATS

Math, Angle, and Test Operations 2.7
82STAT~4.DOC TI-83 international English Bob Fedorisko Revised: 10/28/05 12:19 PM Printed: 10/28/05 12:20
PM Page 7 of 26
nDeriv( (numerical derivative) returns an approximate derivative
of expression with respect to variable, given the value at which
to calculate the derivative and H (if not specified, the default is
1â
L3). nDeriv( is valid only for real numbers.
nDeriv(expression,variable,value[,H])
nDeriv(
uses the symmetric difference quotient method, which
approximates the numerical derivative value as the slope of the
secant line through these points.
f
(
x+H)Nf(xNH)
f¢(x) =
2H
As H becomes smaller, the approximation usually becomes more
accurate.
You can use nDeriv( once in expression. Because of the method
used to calculate
nDeriv(, the TI-82 STATS can return a false
derivative value at a nondifferentiable point.
fnInt( (function integral) returns the numerical integral (Gauss-
Kronrod method) of expression with respect to variable, given
lower limit, upper limit, and a tolerance (if not specified, the
default is 1â
L5). fnInt( is valid only for real numbers.
fnInt(expression,variable,lower,upper[,tolerance])
Tip: To speed the drawing of integration graphs (when fnInt( is used
in a Y= equation), increase the value of the Xres window variable
before you press s.
nDeriv(
fnInt(