Casio FX-CG10 Software User's Manual page 74

In this definition, infinitesimal is replaced by a sufficiently small A
f '
a
neighborhood of (
f (a + A x) – f (a) f (a + A x) – f (a)
f (a) f (a) ' ' –––––––––– ––– –––––––––– –––
A x A x
Example To determine the derivative at
f x
Input the function ( ).
AK4(CALC) 2( d / d
x a
Input point = for which you want to determine the derivative.
dw
Using First Derivative Calculation in a Graph Function
• You can omit input of the value
for the first derivative graph: Y2 = d / d
instead of the value
First Derivative Calculation Precautions
f x
• In the function ( ), only X can be used as a variable in expressions. Other variables
(A through Z excluding X,
that variable is applied during the calculation.
• Pressing A during calculation of a first derivative (while the cursor is not shown on the
display) interrupts the calculation.
• Inaccurate results and errors can be caused by the following:
- discontinuous points in
- extreme changes in
- inclusion of the local maximum point and local minimum point in
- inclusion of the inflection point in
- inclusion of undifferentiable points in
- first derivative calculation results approaching zero
• Always use radians (Rad mode) as the angle unit when performing trigonometric first
derivatives.
• You cannot use a first derivative, second derivative, integration, , maximum/minimum value,
Solve or RndFix calculation expression inside a first derivative calculation term.
) calculated as:
a
in the syntax on page 2-27 by using the following format
x
(Y1). In this case, the value of the X variable is used
a
.
r
, ) are treated as constants, and the value currently assigned to
x
values
x
values
x
values
x
values
x
= 3 for the function
) vMde+evx+v-ge
x
2-28
x
, with the value in the
y x 3 x 2
= + 4 +
x
values
x
– 6