Casio FX-FD10PRO

User Manual - Page 53

For FX-FD10PRO.

PDF File Manual, 223 pages, Download pdf file

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3-23
- inclusion of the inflection point in x values
- inclusion of undifferentiable points in
x values
- differential calculation results approaching zero
Always use radians (Rad mode) as the angle unit when performing trigonometric
differentials.
You cannot use a differential, quadratic differential, integration, Σ , maximum/minimum value,
Solve, RndFix or log
a
b calculation expression inside a differential calculation term.
k Quadratic Differential Calculations [OPTN]-[CALC]-[d
2
/dx
2
]
After displaying the function analysis menu, you can input quadratic differentials using the
following syntax.
K4(CALC)3(
d
2
/dx
2
) f(x),a,tol!/( ) )
(
a: differential coefficient point, tol: tolerance)
Quadratic differential calculations produce an approximate differential value using the following
second order differential formula, which is based on Newton’s polynomial interpretation.
In this expression, values for “sufficiently small increments of
h” are used to obtain a value that
approximates f
"
(a).
Example To determine the quadratic differential coefficient at the point where
x = 3 for the function y = x
3
+ 4 x
2
+ x – 6
Here we will use a tolerance tol = 1 E – 5
Input the function f(x).
AK4(CALC)3(
d
2
/dx
2
)a5(U-Z)4(X)!a(CATALOG)
a6(SYBL)4(9)c~c(^)wd+ea5(U-Z)4(X)
x+4(X)-g,
Input 3 as point
a, which is the differential coefficient point.
d,
Input the tolerance value.
b!a(CATALOG)a1(A-E)
5(E)c~c(EXP)w
-f!/( ) )
w
Quadratic Differential Calculation Precautions
With quadratic differential calculation, calculation precision is up to five digits for the
mantissa.
The rules that apply for linear differential also apply when using a quadratic differential
calculation. See “Differential Calculation Precautions” on page 3-22.
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