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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.

## Concept wise

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.