Nderiv – Texas Instruments TI-84 User Manual

Page 63

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Chapter 2: Math, Angle, and Test Operations

60

nDeriv(

nDeriv(

nDeriv(

nDeriv(

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 1

âL3).

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.

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-84 Plus can return a false derivative value at a nondifferentiable point.

f

x

( )

f x

ε

+

(

) f x ε

(

)

2

ε

------------------------------------------

=

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