Continuity and Differentiability


Videos


Introduction to Continuity

798

Challenges on Introduction to Continuity

582

Introduction to Continuity

330

Discontinuity of a Function

467

Criterion of Continuity

469

Challenges on Discontinuity of a Function

1226

Criterion of Discontinuity

466

Directional Continuity

668

Continuity in an Interval

2645

Continuity of Piecewise Functions

2072

Continuity in an Interval

702

Different Types of Discontinuity

2041

Continuity of Trigonometric Functions

484

Continuity of Polynomial, Modulus and Signum Functions

253

Challenges on Different Types of Discontinuity

1206

Continuity of Greatest Integer and Fractional Part Function

131

Theorems on Continuity - I

1936

Theorems on Continuity - II

1279

Continuity of Exponential, Logarithmic and Point Functions

394

Continuity of Piecewise Functions

752

Theorems on Continuity - III

1034

Application of Continuity

1319

Theorems on Continuity - IV

1031

Removable Discontinuity

1023

Continuity of Composite Functions - I

1447

Challenges on Continuity of Composite Functions - I

976

Non - Removable Discontinuity

1018

Continuity of Composite Functions - II

1662

Algebra of Continuous Functions

1444

Properties of Continuous Functions

1020

Sum and Difference of Continuous and Discontinuous Functions

492

Single Point Continuous Functions

735

Continuity of Inverse of a Function

417

Continuity of Special Functions

3060

Intermediate Value Theorem

602

Continuity of Single Point functions

735

Challenges on Continuity of Special Functions

1477

Continuity of Functions Involving Limits

1756

Continuity Based on Functional Equations

1569

Continuity of Composition of Special Functions

1490

Challenges on Continuity of Functions Involving Limits

1552

Introduction to Differentiability

1697

Continuity of Functions Involving Limits

1756

Challenges on Introduction to Differentiability

1553

Introduction to Differentiability

466

Reasons of Non - Differentiability

1235

Definition of Differentiability

492

Vertical Tangent

571

Relation Between Continuity & Differentiability

739

Reasons of Non - differentiability

1235

Challenges on Vertical Tangent

1446

Differentiability of Standard Functions

4158

Vertical Tangent

571

Theorems of Differentiability

5672

Differentiability in an Interval

208

Differentiability of Polynomial Functions

282

Differentiability of Constant, Exponential and Logarithmic Functions

226

Differentiability of Trigonometric Functions

295

Differentiability of Inverse Trigonometric Functions

457

Differentiability of Greatest Integer and Fractional Part Function

102

Differentiability of Modulus and Signum Functions

109

Differentiability of Piecewise Functions

1187

Differentiability of Composition of Special Functions

1133

Algebra of Differentiable Functions

736

Algebra of Differentiable and Non - Differentiable Functions

1585

Algebra of Non - Differentiable Functions

1491

Differentiability in Special Cases

1860

Product and Division of Continuous and Discontinuous Functions

1279

Algebra of Discontinuous Functions

1034

Continuity of Composite of Continuous Functions

1447

Continuity of Composite of Discontinuous Functions

1662

Introduction to Continuity

329

Criterion of Continuty

438

What We Have Learnt So Far

141

Spotting Discontinuity

311

Directional Continuity

264

Directional Continuity- Conditions

187

Directional Continuity- Conditions

111

Continuity in an Interval- I

320

Continuity in an Interval- II

198

Continuity of Trigonometric Functions

345

Continuity of Inverse Trigonometric Functions

123

Continuity of Algebraic Function

351

Continuity of Exponential and Logarithmic Functions

353

Continuity of Piecewise Functions

320

Application of Continuity

307

Missing Point Discontinuity

239

Isolated point Discontinuity

362

Finite Non - Removable Discontinuity

202

Infinite Non - Removable Discontinuity

258

Oscillatory Non - Removable Discontinuity

146

Discontinuity of a Function

249

Addition and Subtraction of Two Functions - I

413

Multiplicatiion and Division of Two Functions - I

351

Addition and Subtraction of Two Functions - II

330

Multiplication of Two Functions - II

405

Division of Two Functions - II

258

Addition of Discontinuous Functions

208

Subtraction of Discontinuous Functions

182

Multiplicatiion of Discontinuous Functions

289

Division of Discontinuous Functions

271

Continuity of Composite Functions

257

Modulus of Continuous Functions

246

Composition of Continuous and Discontinuous Functions - I

262

Composition of Continuous and Discontinuous Functions - II

218

Composition of Discontinuous Functions

208

Composition of Discontinuous Functions

121

Boundedness

194

Inverse of a continuous function

83

Intermediate Value Theorem

322

Intermediate Value Theorem

88

Single Point Continuous Functions - I

309

Single Point Continuous Functions - II

342

Continuity Based on Functional Equations

367

Continuity of G.I.F.

377

Continuity of Fractional Part and Signum Functions

556

Continuity of Fractional Part and Signum Functions

85

Continuity of Functions Involving Limits

670

Continuity of Functions Involving Limits

73

Introduction to Derivatives

466

Analytical Definition of Differentiability

461

Relation Between Continuity & Differentiability

497

Sharp Edges and Breaks in the Functions

198

Reasons of Non - differentiability

277

Vertical Tangent

277

Challenges

72

Differentiability of Basic Functions

392

Differentiability of Basic Functions

52

Differentiability of Basic Functions

77

Differentiability of Trigonometric Functions

732

Differentiability of Special Functions

353

Differentiability of Piecewise Functions

280

Differentiability of Piecewise Functions

80

Diiferetiability of Composite Functions

693

Diiferetiability of Composite Functions

69

Sum and Difference of Differentiable Functions

235

Product and Division of Differentiable Functions

463

Product and Division of Differentiable Functions

34

Algebra of Differentiable and Non Differentiable Functions - I

397

Algebra of Differentiable and Non Differentiable Functions - I

201

Algebra of Differentiable and Not Differentiable Functions - II

501

Algebra of Two Non Differentiable Functions

436

Algebra of Two Non Differentiable Functions

64

Differetiability in Special Cases I

335

Differetiability in Special Cases II

14

Differetiability in Special Cases II

22

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