x

y

dy/dx

backward

forward

Central

0.00

1.00000

0.00000

N/A

0.01000

N/A

0.01

1.00010

0.02000

0.01000

0.03001

0.02000

0.02

1.00040

0.04002

0.03001

0.05003

0.04002

0.03

1.00090

0.06005

0.05003

0.07009

0.06006

0.04

1.00160

0.08013

0.07009

0.09018

0.08014

0.05

1.00250

0.10025

0.09018

0.11034

0.10026

0.06

1.00361

0.12043

0.11034

0.13055

0.12044

0.07

1.00491

0.14069

0.13055

0.15085

0.14070

0.08

1.00642

0.16103

0.15085

0.17124

0.16104

0.09

1.00813

0.18146

0.17124

0.19173

0.18148

0.10

1.01005

0.20201

0.19173

0.21233

0.20203

0.11

1.01217

0.22268

0.21233

0.23307

0.22270

0.12

1.01450

0.24348

0.23307

0.25394

0.24351

0.13

1.01704

0.26443

0.25394

0.27497

0.26446

0.14

1.01979

0.28554

0.27497

0.29617

0.28557

0.15

1.02276

0.30683

0.29617

0.31755

0.30686

0.16

1.02593

0.32830

0.31755

0.33912

0.32833

0.17

1.02932

0.34997

0.33912

0.36089

0.35001

0.18

1.03293

0.37186

0.36089

0.38289

0.37189

0.19

1.03676

0.39397

0.38289

0.40513

0.39401

0.20

1.04081

0.41632

0.40513

0.42761

0.41637

0.21

1.04509

0.43894

0.42761

0.45035

0.43898

0.22

1.04959

0.46182

0.45035

0.47338

0.46187

0.23

1.05432

0.48499

0.47338

0.49670

0.48504

0.24

1.05929

0.50846

0.49670

0.52033

0.50851

0.25

1.06449

0.53225

0.52033

0.54428

0.53230

0.26

1.06994

0.55637

0.54428

0.56857

0.55643

0.27

1.07562

0.58084

0.56857

0.59322

0.58090

0.28

1.08156

0.60567

0.59322

0.61825

0.60573

0.29

1.08774

0.63089

0.61825

0.64366

0.63095

0.30

1.09417

0.65650

0.64366

0.66949

0.65657

0.31

1.10087

0.68254

0.66949

0.69574

0.68261

0.32

1.10783

0.70901

0.69574

0.72243

0.70908

0.33

1.11505

0.73593

0.72243

0.74959

0.73601

0.34

1.12255

0.76333

0.74959

0.77724

0.76341

0.35

1.13032

0.79122

0.77724

0.80538

0.79131

0.36

1.13837

0.81963

0.80538

0.83405

0.81972

0.37

1.14671

0.84857

0.83405

0.86327

0.84866

0.38

1.15535

0.87806

0.86327

0.89305

0.87816

0.39

1.16428

0.90814

0.89305

0.92342

0.90824

0.40

1.17351

0.93881

0.92342

0.95440

0.93891

0.41

1.18305

0.97011

0.95440

0.98602

0.97021

0.42

1.19292

1.00205

0.98602

1.01830

1.00216

0.43

1.20310

1.03466

1.01830

1.05126

1.03478

0.44

1.21361

1.06798

1.05126

1.08493

1.06810

0.45

1.22446

1.10201

1.08493

1.11934

1.10214

0.46

1.23565

1.13680

1.11934

1.15452

1.13693

0.47

1.24720

1.17237

1.15452

1.19048

1.17250

0.48

1.25910

1.20874

1.19048

1.22727

1.20888

0.49

1.27138

1.24595

1.22727

1.26491

1.24609

0.50

1.28403

1.28403

1.26491

1.30344

1.28418

0.51

1.29706

1.32300

1.30344

1.34288

1.32316

0.52

1.31049

1.36291

1.34288

1.38326

1.36307

0.53

1.32432

1.40378

1.38326

1.42463

1.40395

0.54

1.33857

1.44565

1.42463

1.46702

1.44583

0.55

1.35324

1.48856

1.46702

1.51046

1.48874

0.56

1.36834

1.53254

1.51046

1.55500

1.53273

0.57

1.38389

1.57764

1.55500

1.60066

1.57783

0.58

1.39990

1.62388

1.60066

1.64750

1.62408

0.59

1.41637

1.67132

1.64750

1.69555

1.67153

0.60

1.43333

1.72000

1.69555

1.74486

1.72021

0.61

1.45078

1.76995

1.74486

1.79548

1.77017

0.62

1.46873

1.82123

1.79548

1.84744

1.82146

0.63

1.48721

1.87388

1.84744

1.90080

1.87412

0.64

1.50622

1.92796

1.90080

1.95560

1.92820

0.65

1.52577

1.98350

1.95560

2.01191

1.98376

0.66

1.54589

2.04058

2.01191

2.06977

2.04084

0.67

1.56659

2.09923

2.06977

2.12923

2.09950

0.68

1.58788

2.15952

2.12923

2.19037

2.15980

0.69

1.60978

2.22150

2.19037

2.25322

2.22179

0.7

1.63232

2.28524

2.25322

2.31787

2.28555

0.71

1.65549

2.35080

2.31787

2.38437

2.35112

0.72

1.67934

2.41825

2.38437

2.45278

2.41857

0.73

1.70387

2.48764

2.45278

2.52318

2.48798

0.74

1.72910

2.55907

2.52318

2.59565

2.55941

0.75

1.75505

2.63258

2.59565

2.67024

2.63294

0.76

1.78176

2.70827

2.67024

2.74705

2.70865

0.77

1.80923

2.78621

2.74705

2.82615

2.78660

0.78

1.83749

2.86648

2.82615

2.90762

2.86689

0.79

1.86657

2.94917

2.90762

2.99156

2.94959

0.8

1.89648

3.03437

2.99156

3.07805

3.03480

0.81

1.92726

3.12216

3.07805

3.16718

3.12261

0.82

1.95893

3.21265

3.16718

3.25905

3.21312

0.83

1.99152

3.30593

3.25905

3.35377

3.30641

0.84

2.02506

3.40210

3.35377

3.45144

3.40260

0.85

2.05958

3.50128

3.45144

3.55216

3.50180

0.86

2.09510

3.60357

3.55216

3.65605

3.60411

0.87

2.13166

3.70908

3.65605

3.76323

3.70964

0.88

2.16929

3.81795

3.76323

3.87383

3.81853

0.89

2.20803

3.93029

3.87383

3.98796

3.93089

0.9

2.24791

4.04623

3.98796

4.10576

4.04686

0.91

2.28897

4.16592

4.10576

4.22737

4.16656

0.92

2.33124

4.28948

4.22737

4.35293

4.29015

0.93

2.37477

4.41707

4.35293

4.48260

4.41777

0.94

2.41959

4.54884

4.48260

4.61652

4.54956

0.95

2.46576

4.68494

4.61652

4.75487

4.68569

0.96

2.51331

4.82555

4.75487

4.89780

4.82633

0.97

2.56229

4.97084

4.89780

5.04549

4.97164

0.98

2.61274

5.12097

5.04549

5.19813

5.12181

0.99

2.66472

5.27615

5.19813

5.35591

5.27702

1

2.71828

5.43656

5.35591

N/A

N/A