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Chapter 5 Class 12 Continuity and Differentiability

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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
  Ex 5.2
  Ex 5.3
  Ex 5.4
  Ex 5.5
  Ex 5.6
  Ex 5.7
  Examples
  Miscellaneous
  Case Based Questions (MCQ)
  NCERT Exemplar - MCQs
  Rolle's and Mean Value Theorem

Concept wise

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

What's in it?

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.