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Chapter 5 Class 12 Continuity and Differentiability

Master Chapter 5 Class 12 Continuity and Differentiability with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Get NCERT Solutions of Class 12 Continuity and Differentiability, Chapter 5 of NCERT Book with solutions of all NCERT Questions.

 

The topics of this chapter include

Continuity

  • Checking continuity at a particular point,
  • and over the whole domain
  • Checking a function is continuous using Left Hand Limit and Right Hand Limit
  • Addition, Subtraction, Multiplication, Division of Continuous functions
  • Checking continuity of Composite functions like |cos x|

Differentiability

  • Checking if function is differentiable using Left Hand and Right Hand derivatives
  • Finding derivative using Chain Rule 
  • Derivative of Implicit functions like x + y = 20
  • Derivative of Inverse trigonometric functions
  • Derivative of Exponential & Logarithm functions
  • Logarithmic Differentiation
  • Derivatives in parametric form, like finding dy/dx, if x = cos t, y = sin t
  • Finding second order derivatives (double differentiation) - Normal and Implicit form
  • Rolles and Mean Value Theorem

 

Ideal for CBSE Boards preparation. You can also check Important Questions of Class 12.

Serial order wise

Ex 5.1 Start Learning
Ex 5.2 Start Learning
Ex 5.3 Start Learning
Ex 5.4 Start Learning
Ex 5.5 Start Learning
Ex 5.6 Start Learning
Ex 5.7 Start Learning
Examples Start Learning
Miscellaneous Start Learning
Case Based Questions (MCQ) Start Learning
NCERT Exemplar - MCQs Start Learning
Rolle's and Mean Value Theorem Start Learning
Teachoo Questions - MCQs Start Learning
Teachoo Questions - Mix Start Learning
Teachoo Questions - Assertion Reasoning Start Learning
Teachoo Questions - Case Based Start Learning

Concept wise

Checking continuity at a given point Start Learning
Checking continuity at any point Start Learning
Checking continuity using LHL and RHL Start Learning
Algebra of continous functions Start Learning
Continuity of composite functions Start Learning
Checking if funciton is differentiable Start Learning
Finding derivative of a function by chain rule Start Learning
Finding derivative of Implicit functions Start Learning
Finding derivative of Inverse trigonometric functions Start Learning
Finding derivative of Exponential & logarithm functions Start Learning
Logarithmic Differentiation - Type 1 Start Learning
Logarithmic Differentiation - Type 2 Start Learning
Derivatives in parametric form Start Learning
Finding second order derivatives - Normal form Start Learning
Finding second order derivatives- Implicit form Start Learning
Proofs Start Learning
Verify Rolles theorem Start Learning
Verify Mean Value Theorem Start Learning

Why Learn This With Teachoo?

Get NCERT Solutions of Class 12 Continuity and Differentiability, Chapter 5 of NCERT Book with solutions of all NCERT Questions.

 

The topics of this chapter include

Continuity

  • Checking continuity at a particular point,
  • and over the whole domain
  • Checking a function is continuous using Left Hand Limit and Right Hand Limit
  • Addition, Subtraction, Multiplication, Division of Continuous functions
  • Checking continuity of Composite functions like |cos x|

Differentiability

  • Checking if function is differentiable using Left Hand and Right Hand derivatives
  • Finding derivative using Chain Rule 
  • Derivative of Implicit functions like x + y = 20
  • Derivative of Inverse trigonometric functions
  • Derivative of Exponential & Logarithm functions
  • Logarithmic Differentiation
  • Derivatives in parametric form, like finding dy/dx, if x = cos t, y = sin t
  • Finding second order derivatives (double differentiation) - Normal and Implicit form
  • Rolles and Mean Value Theorem

 

Ideal for CBSE Boards preparation. You can also check Important Questions of Class 12.