Texas Instruments TI-36X Pro User Manual - Page 28

Example in MathPrint™ mode, Example in Classic mode, Problem - how to calculate secant

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Example in MathPrint™ mode %A %A z F T 5 z "" M 1 < Example in Classic mode Classic: nDeriv(expression,variable,value[,H]) %A %A z F T 5 z %`z %`M1 ) < 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) = f--(---x 2-----ε---f--(--x As H becomes smaller, the approximation usually becomes more accurate. In MathPrint™ mode, the default H is 1EM3. You can switch to Classic mode to change H for investigations. You can use nDeriv( once in expression. Because of the method used to calculate nDeriv(, the calculator can return a false derivative value at a nondifferentiable point. ³ Problem Find the slope of the tangent line to the curve f(x) = x3 - 4x at x = ---2--- 3 What do you notice? (Fix 3 decimal places.) 28

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28
Example in MathPrint™ mode
Example in Classic mode
Classic:
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. In MathPrint™ mode, the default
H
is 1
E
M
3.
You can switch to Classic mode to change
H
for
investigations.
You can use
nDeriv(
once in
expression
. Because of the
method used to calculate
nDeriv(
, the calculator can return a
false derivative value at a nondifferentiable point.
³
Problem
Find the slope of the tangent line to the curve f(x) = x
3
– 4x at
x=
What do you notice?
(Fix 3 decimal places.)
%A %A
z F T
5
z ""
M
1
<
%A %A
z F T
5
z
%`z
%`M
1
)
<
f
′
x
()
fx
ε
+
(
)
fx
ε
–
(
)
–
2
ε
-----------------------------------------
=
2
3
------