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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
EM3.
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
%`M1 )
<
f′ x()
fx ε+()fx ε–()–
2ε
-----------------------------------------
=
2
3
-------
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