Texas Instruments TI-83

Math, Angle, and Test Operations 2-7

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 1âL3). 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) =

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-83 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 1âL5). 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(