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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Serial order wise

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

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