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  3. Chapter 5 Class 12 Continuity and Differentiability (Term 1)

Chapter 5 Class 12 Continuity and Differentiability (Term 1)

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.