Casio FX-CG10 User Manual Page 74
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2-28
In this definition, infinitesimal is replaced by a sufficiently small A
x , with the value in the
neighborhood of f
'
( a ) calculated as:
Example To determine the derivative at x = 3 for the function y = x
3
+ 4 x
2
+ x – 6
Input the function f ( x ).
AK4(CALC) 2( d / d
x ) vMde+evx+v-ge
Input point
x = a for which you want to determine the derivative.
dw
Using First Derivative Calculation in a Graph Function
• You can omit input of the value a in the syntax on page 2-27 by using the following format
for the first derivative graph: Y2 = d / dx (Y1). In this case, the value of the X variable is used
instead of the value a.
First Derivative Calculation Precautions
• In the function f ( x ), only X can be used as a variable in expressions. Other variables
(A through Z excluding X,
r , ) are treated as constants, and the value currently assigned to
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
x values
- extreme changes in
x values
- inclusion of the local maximum point and local minimum point in
x values
- inclusion of the inflection point in
x values
- inclusion of undifferentiable points in
x values
- 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, Σ , maximum/minimum value,
Solve or RndFix calculation expression inside a first derivative calculation term.
f
(
a
+
A
x
)–
f
(
a
)
f
(
a
)
–––––––––––––
A
x
'
f
(
a
+
A
x
)–
f
(
a
)
f
(
a
)
–––––––––––––
A
x
'
- fx-CG10 1
- Contents 3
- — Read This First! 6
- Basic Operation 8
- 2. Display 10
- ( ) 29
- 5. Option (OPTN) Menu 34
- 7. Program (PRGM) Menu 38
- 8. Using the Setup Screen 39
- 9. Using Screen Capture 43
- Manual Calculations 47
- 1 , etc 52
- 2. Special Functions 53
- = 0 to 9) 58
- 4. Function Calculations 60
- (RanNorm#) 65
- (RanBin#) 66
- (MOD_Exp) 67
- = 0.0009k (kilo) 68
- 5. Numerical Calculations 70
- ' 74
- Positive 77
- part ( 77
- Negative part ( 77
- 'r ∠ 83
- 'a + b i ) w 83
- Calculations with Integers 84
- 16 and AD 16 ” 86
- 8. Matrix Calculations 87
- 1 2 3 88
- 4 5 6 88
- 1 3 5 95
- 2 4 6 95
- Integer of a Matrix 102
- 'a+b i , 'r ∠ 103
- Important! 104
- List Function 108
- 2. Manipulating List Data 114
- 5. Using CSV Files 125
- Equation Calculations 128
- 3. Solve Calculations 131
- Graphing 133
- 'Y=) to 5('Y≤) 135
- 3. Drawing a Graph 145
- min, Tmax, Tptch values) 152
- • AS) 153
- 6. Manual Graphing 157
- 7. Using Tables 162
- 8. Modifying a Graph 168
- Modify Function is Running 171
- 9. Dynamic Graphing 172
- + y − 1 and graph a 181
- Screen (Sketch) 182
- 13. Function Analysis 184
- Integration value 190
- Area value 190
- Statistical Graphs and 194
- Calculations 194
- Statistical Data 201
- 0.1 0.2 0.4 0.7 0.8 0.9 1.0 206
- ) and Mean Square Error (MSe) 217
- 5. Tests 225
- Z Tests 226
- μ 227
- s 231
- • 232
- Test Common Functions 232
- GOF Test ( 232
- one-way Test) 232
- two-way Test 233
- σ 234
- F value 235
- 6. Confidence Interval 239
- Z Interval 240
- 7. Distribution 242
- Distribution 247
- • Inverse 248
- F Distribution 249
- Interval, and Distribution 258
- 9. Statistic Formula 261
- λ 264
- Financial Calculation 265
- 2. Simple Interest 267
- 3. Compound Interest 268
- { } 269
- Important! 270
- NFV = NPV × (1 + i ) 271
- +1 > 0, or 0 272
- 1 = 0 and PRN1 = PMT 274
- 6. Interest Rate Conversion 276
- CST : cost 277
- SEL : selling price 277
- MRG : margin 277
- 8. Day/Date Calculations 278
- Issue date 281
- Redemption date (d2) 281
- (N–1+B/D ) (k–1+B/D ) 282
- Programming 285
- 3. Editing Program Contents 288
- 4. File Management 290
- 5. Command Reference 295
- numeric expression 297
- numeric expression 298
- No parameters 304
- No parameters 304
- =, ≠, >, <, ≥, ≤ 308
- Rows to be swapped 314
- Matrix name 314
- σ 325
- • Student- t Distribution 326
- • Poisson Distribution 328
- • Geometric Distribution 328
- • Z Test 329
- • t Test 330
- • F Test 331
- • ANOVA 331
- • Setup Commands 332
- I %, PV, PMT, P/Y, C/Y) 334
- 7. Program Mode Command List 335
- Level 1Level 2Level 3 Command 336
- (PRGM) key 339
- (SET UP) key 339
- Level 3 Level 4 Command 341
- max"* 343
- max command 343
- Command Text 344
- 9. Program Library 350
- Program Name Ellipse 351
- Spreadsheet 352
- Mode Commands 370
- Mode Command Example 371
- 4. Conditional Formatting 372
- Mode Function Menu 382
- Correspondence Table 382
- 6. Spreadsheet 385
- Mode Memory 385
- eActivity 388
- 2. eActivity Function Menus 389
- Cursor 392
- Text line cursor 393
- Math line cursor 395
- Memo icon 398
- Memo Window 399
- File usage 410
- Memory Manager 411
- System Manager 424
- Data Communication 432
- II or ANSI code txt format 439
- Calculators 441
- Data item name 443
- II does not support color 444
- II to this calculator, for 446
- Geometry 448
- 5. Using the Measurement Box 488
- Measurement Values 498
- 6. Working with Animations 503
- Picture Plot 512
- 3. Using the Plot Function 518
- 4. Using the Plot List 524
- AXTRANS screen 527
- Appendix 530
- • Equation mode errors 532
- • Spreadsheet mode errors 535
- • eActivity mode errors 535
- • Memory mode errors 536
- • Data communication errors 538
- • Geometry mode errors 539
- • Picture Plot mode errors 541
- • Setup errors 541
- • Other errors 542
- 2. Input Ranges 543
- Application 545
- 20100801 546
- 2010080120100801 547
- CASIO COMPUTER CO., LTD 601
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