Texas Instruments TI-36X Pro User Manual page 28

Example in MathPrint™ mode
% A % A
Example in Classic mode
Classic: nDeriv(expression,variable,value[
% A % A
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 ( )
-----------------------------------------
=
As H becomes smaller, the approximation usually becomes
more accurate. In MathPrint™ mode, the default H is 1
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
2
------ -
x =
3
What do you notice? (Fix 3 decimal places.)
z F T 5 z ""
M 1 <
z F T 5 z
%`z
%`M1 )
<
ε ) f x ε (
+ – –
2ε
)
28
,
H])
E
M3.
3
– 4x at