Derivative - Casio fx-5800P User Manual

Derivative

Your calculator performs differential calculations by approximating the derivative based on
centered difference approximation. Calculation is performed using the function shown below.
A Syntax and Input
d dx f x a tol
/ ( ( ), ,
f x
( ): Function of
• All variables other than X are viewed as constants.
a
: Value of point (derivative point) of desired derivative coeffi cient
tol
: Error tolerance range (Can be input only when linear display is being used.)
• This parameter can be omitted. In that case, a tolerance of 1 × 10
Example: To obtain the differential coeffi cient at point
tol
( value not input)
– {MATH} 2 (d/dX) s
A Remarks
d dx
• Use of / ( is supported in the COMP, SD, REG, and EQN Modes only.
• The following functions cannot be input for the
Σ (. In addition, the Pol( and Rec( functions, and the random number functions cannot be
f x
input for the ( ) parameter.
• In the case of differentiation of a trigonometric function, select Rad for the angle unit.
• Specifying a smaller value for the
causes the calculation to take more time. Specify a
• You will not be able to input a
• Non-consecutive points, abrupt fl uctuation, extremely large or small points, infl ection
points, and the inclusion of points that cannot be differentiated, or a differential point or
)
x
(Input the function used by variable X.)
(Continuing from
(Continuing from
,
tol
tol
value while using natural display.
b x
∫ ∫
1
f(x)dx = f(x)dx +
a
a
d dx
/ (
x
=
0 (X) ) .....
, above)
Z (π )
, above)
Z (π ) 2)
f x a
( ), , and
parameter tends to improve precision, but it also
tol
value greater than 1 × 10
E-45
x
∫
2
f(x)dx + .....+
x
1
π
for the function
2
2
parameters: ∫ (,
tol
b
∫
f(x)dx
x
4
–10
is used.
y x
= sin( )
2 2
d dx d dx
/ (, / (,
–14
.