NCERT Solutions for Class 12 Maths Exercise 5.3 Chapter 5 Continuity and Differentiability – FREE PDF Download

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 (Ex 5.3) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.3 Questions with Solutions to help you to revise complete Syllabus and Score More marks.

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.3 (Ex 5.3)

Find  in the following Exercise 1 to 15.

1. 

Ans. Given:      

 

 

 

 

2. 

 

Ans. Given:      

  

 

 

 

3. 

 

Ans. Given:      

 

 

 

 dydx(2by+siny)=−adydx(2by+sin⁡y)=−a

 

4. 

 

Ans. Given:      

 

  [By Product Rule]

 

 

 

 

5. 

 

Ans. Given:      

 

 

 

 

 

6. 

 

Ans. Given:      

 ddxx3+ddxx2y+ddxxy2+ddxy3=ddx81ddxx3+ddxx2y+ddxxy2+ddxy3=ddx81

 

 

 

 dydx=−(3x2+2xy+y2)x2+2xy+3y2dydx=−(3×2+2xy+y2)x2+2xy+3y2

7. 

 

Ans. Given:      

 

 

 

 

 

 

8. 

 

Ans. Given:  

⟹ddx(sin2x)+ddx(cos2y)=ddx(1)⟹ddx(sin2x)+ddx(cos2y)=ddx(1)

 

  

 

 

9. 

 

Ans. Given:      

To simplify the given Inverse Trigonometric function, putting 

  = 

 

 

10. 

 

Ans. Given:      

To simplify the given Inverse Trigonometric function, putting 

 

 

 

 

11. 

 

Ans. Given:  

Putting 

=  =  = 

 

12. 

 

Ans. Given:     
Putting 

= 
= 
=
  

13. 

 

Ans. Given:     
Putting 

= cos−1(sin2θ)cos−1(sin⁡2θ) 

= 
= 
 

14. 

 

Ans. Given:     
Putting 

= 
= 
= 
  

15. 

 

Ans. Given: 
Putting  

y=sec−1(12cos2θ−1)y=sec−1(12cos2θ−1)

= 
= 
=