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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.