NCERT Solutions for Class 12 Mathematics – Chapter 5 – Exercise 5.3 – Continuity and Differentiability

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In this section, we will learn to differentiate the Implicit Functions and Inverse Trigonometric Functions.

Differentiation of implicit Function:

Let f(x, y) = a be a function of x and y defined in such a manner that y is not expressible directly in terms of x. Then F(x, y) = a is called an implicit function of x and y.

In differentiating such a function, we differentiate both sides of the equation termwise.

 

Derivatives of Inverse Trigonometric Functions:

We use formulas to differentiate the functions or sometimes we differentiate inverse trigonometric functions by making suitable substitutions.

Solutions are given below in simple steps.

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NCERT Solutions for Class 12 – Mathematics – Chapter 5 – Exercise 5.3 – Continuity and Differentiability

 

XII M NCERT Continuity and Differentiability Ex 5.3 (1) XII M NCERT Continuity and Differentiability Ex 5.3 (2) XII M NCERT Continuity and Differentiability Ex 5.3 (3) XII M NCERT Continuity and Differentiability Ex 5.3 (4)
Continuity and Differentiability – MCQ

 

Formula – Inverse Trigonometric Functions – Class 12

 

CBSE    Class 12   NCERT Solutions    Mathematics
 Inverse Trigonometric Functions
Determinants – Chapter 4
Determinants Chapter 4 Exercise 4.1 and 4.2
Determinants Chapter 4 Exercise 4.3 and 4.4
Determinants – Chapter 4 – Exercise 4.5
Determinants – Chapter 4 – Exercise Miscellaneous
Continuity and Differentiability – Chapter 5 – Exercise 5.2
Continuity and Differentiability – Chapter 5 – Exercise 5.3
Continuity and Differentiability – Chapter 5 – Exercise 5.4
Continuity and Differentiability – Chapter 5 – Exercise 5.5
Continuity and Differentiability – Chapter 5 – Exercise 5.6
Continuity and Differentiability – Chapter 5 – Exercise 5.7
Integrals – Chapter 7 – Exercise 7.1

 

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Relations and Functions
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Determinants
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Increasing and Decreasing Functions
Application of Calculus in Commerce and Economics (Set I)
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Specimen Paper for Semester 1 – 2021 – ISC – Class XII Mathematics
Linear Regression
ISC   –   Class 12  –  Mathematics  –  Sem 2  –  2022  – Sample Paper

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Mock Question Paper for Semester 1 (2021) ICSE Class X Mathematics
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