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Quadratic Differential Calculations, OPTN], CALC], Example

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2-5-5 Numerical Calculations k Quadratic Differential Calculations [OPTN]-[CALC]-[d2/dx2] After displaying the function analysis menu, you can input quadratic differentials using the following syntax. K4(CALC)3(d 2/dx2) f(x),a,tol) (a: differential coefficient point , tol: tolerance) -dd-x2-2 (f (x), a) ⇒ -dd-x2-2 f (a) Quadratic differential calculations produce an approximate differential value using the following second order differential formula, which is based on Newton's polynomial interpretation. f''(a) = -2-f-(-a-+--3-h-)---2-7--f(-a-+--2-h-)-+--2-7-0-f-(a--+-h-)----4-9-0-f-(-a-)+-2-7-0--f(-a----h-)---2-7--f-(a----2-h-)-+-2--f(-a----3-h-) 180h2 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 = x3 + 4x2 + x - 6 Here we will use a tolerance tol = 1E - 5 Input the function f(x). AK4(CALC)3(d 2/dx2) vMd+ evx+v-g, Input 3 as point a, which is the differential coefficient point. d, Input the tolerance value. bE-f) w # In the function f(x), only X can be used as a variable in expressions. Other variables (A through Z excluding X, r, θ) are treated as constants, and the value currently assigned to that variable is applied during the calculation. # Input of the tolerance (tol) value and the closing parenthesis can be omitted. # Specify a tolerance (tol) value of 1E-14 or greater. An error (Time Out) occurs whenever no solution that satisfies the tolerance value can be obtained. 2007501401

Section	Page
BEFORE USING THE CALCULATOR FOR THE FIRST TIME...	3
Quick-Start	5
Quick-Start	6
TURNING POWER ON AND OFF	6
USING MODES	6
BASIC CALCULATIONS	7
REPLAY FEATURE	8
FRACTION CALCULATIONS	9
EXPONENTS	10
GRAPH FUNCTIONS	11
DUAL GRAPH	13
DYNAMIC GRAPH	14
TABLE FUNCTION	16
Precautions when Using this Product	17
Precautions when Connecting to a Computer	17
Handling Precautions	18
Contents	20
Getting Acquainted — Read This First!	24
Chapter 1 Basic Operation	26
1-1 Keys	27
1-2 Display	30
1-3 Inputting and Editing Calculations	35
1-4 Option (OPTN) Menu	51
1-5 Variable Data (VARS) Menu	53
1-6 Program (PRGM) Menu	57
1-7 Using the Setup Screen	58
1-8 Using Screen Capture	63
1-9 When you keep having problems…	64
Chapter 2 Manual Calculations	66
2-1 Basic Calculations	67
2-2 Special Functions	73
2-3 Specifying the Angle Unit and Display Format	81
2-4 Function Calculations	83
2-5 Numerical Calculations	95
2-6 Complex Number Calculations	108
2-7 Binary, Octal, Decimal, and Hexadecimal Calculations with Integers	113
2-8 Matrix Calculations	118
Chapter 3 List Function	140
3-1 Inputting and Editing a List	141
3-2 Manipulating List Data	149
3-3 Arithmetic Calculations Using Lists	157
3-4 Switching Between List Files	162
Chapter 4 Equation Calculations	163
4-1 Simultaneous Linear Equations	164
4-2 Quadratic and Cubic Equations	166
4-3 Solve Calculations	168
4-4 What to Do When an Error Occurs	170
Chapter 5 Graphing	171
5-1 Sample Graphs	172
5-2 Controlling What Appears on a Graph Screen	180
5-3 Drawing a Graph	190
5-4 Storing a Graph in Picture Memory	199
5-5 Drawing Two Graphs on the Same Screen	200
5-6 Manual Graphing	206
5-7 Using Tables	214
5-8 Dynamic Graphing	230
5-9 Graphing a Recursion Formula	238
5-10 Changing the Appearance of a Graph	248
5-11 Function Analysis	256
Chapter 6 Statistical Graphs and Calculations	278
6-1 Before Performing Statistical Calculations	279
6-2 Calculating and Graphing Single-Variable Statistical Data	283
6-3 Calculating and Graphing Paired-Variable Statistical Data	287
6-4 Performing Statistical Calculations	301
6-5 Tests	311
6-6 Confidence Interval	336
6-7 Distribution	347
Chapter 7 Financial Calculation (TVM)	369
7-1 Before Performing Financial Calculations	370
7-2 Simple Interest	372
7-3 Compound Interest	374
7-4 Cash Flow (Investment Appraisal)	378
7-5 Amortization	381
7-6 Interest Rate Conversion	384
7-7 Cost, Selling Price, Margin	385
7-8 Day/Date Calculations	386
Chapter 8 Programming	388
8-1 Basic Programming Steps	389
8-2 PRGM Mode Function Keys	391
8-3 Editing Program Contents	393
8-4 File Management	397
8-5 Command Reference	401
8-6 Using Calculator Functions in Programs	419
8-7 PRGM Mode Command List	431
8-8 Program Library	434
Chapter 9 Spreadsheet	444
9-1 Spreadsheet Overview	445
9-2 File Operations and Re-calculation	449
9-3 Basic Spreadsheet Screen Operations	452
9-4 Inputting and Editing Cell Data	456
9-5 S.SHT Mode Commands	477
9-6 Statistical Graphs	481
9-7 Using the CALC Function	487
9-8 Using Memory in the S.SHT Mode	491
Chapter 10 eActivity	496
10-1 eActivity Overview	497
10-2 Working with eActivity Files	505
10-3 Inputting and Editing eActivity File Data	508
10-4 Using Matrix Editor and List Editor	528
10-5 eActivity File Memory Usage Screen	530
Chapter 11 System Settings Menu	531
11-1 Using the System Settings Menu	532
11-2 System Settings	533
11-3 Version List	535
11-4 Reset	537
Chapter 12 Data Communications	539
12-1 Connecting Two Units	540
12-2 Connecting the Unit to a Personal Computer	541
12-3 Performing a Data Communication Operation	542
12-4 Data Communications Precautions	547
12-5 Image Transfer	550
12-6 Add-ins	553
12-7 MEMORY Mode	554
Appendix	571
1 Error Message Table	572
2 Input Ranges	576
3 Specifications	579
4 Key Index	581
5 P Button (In case of hang up)	584

Match case Limit results 1 per page

Quadratic Differential Calculations

[OPTN]

[CALC]

[

]

After displaying the function analysis menu, you can input quadratic differentials using the

following syntax.

(CALC)

(

)

(

)

tol

)

Quadratic differential calculations produce an approximate differential value using the

following second order differential formula, which is based on Newton’s polynomial

interpretation.

(

) – 27

(

+ 2

) + 270

(

) – 490

(

)+270

(

–

) – 27

(

–

) +2

(

a –

)

f''

(

)

–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––

180

In this expression, values for “sufficiently small increments of

” are used to obtain a value

that approximates

”(

Example

To determine the quadratic differential coefficient at the point where

= 3 for the function

– 6

Here we will use a tolerance

tol

= 1

– 5

Input the function

(

)

(CALC)

(

)

-g,

Input 3 as point

, which is the differential coefficient point.

Input the tolerance value.

E-

2-5-5

Numerical Calculations

(

differential coefficient point,

tol

: tolerance)

––– (

(

)

⇒

–––

(

)

# In the function

(

)

, only X can be used as a

variable in expressions. Other variables (A

through Z excluding X,

) are treated as

constants, and the value currently assigned to

that variable is applied during the calculation.

# Input of the tolerance (

tol

) value and the closing

parenthesis can be omitted.

# Specify a tolerance (

tol

) value of 1

-14 or greater.

An error (Time Out) occurs whenever no solution

that satisfies the tolerance value can be obtained.

20070101