NCERT Solutions Exercise 5.7: Continuity & Differentiability

 Page 1


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.7                                                                Page No: 183 
 
Find the second order derivatives of the functions given in Exercises 1 to 10. 
 
1.  
Solution:  Let  
First derivative: 
  
Second derivative: 
  
2.  
Solution:  Let  
Derivate y with respect to x, we get 
  
Derivate dy/dx with respect to x, we get 
  
3.  
Solution:  Let  
  
=  
Now, 
  
Page 2


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.7                                                                Page No: 183 
 
Find the second order derivatives of the functions given in Exercises 1 to 10. 
 
1.  
Solution:  Let  
First derivative: 
  
Second derivative: 
  
2.  
Solution:  Let  
Derivate y with respect to x, we get 
  
Derivate dy/dx with respect to x, we get 
  
3.  
Solution:  Let  
  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=  
=  
=  
=  
4.  
Solution:  Let  
  
  
  =  
5.  
Solution:  Let  
  
=  
=  
Now, 
  
Page 3


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.7                                                                Page No: 183 
 
Find the second order derivatives of the functions given in Exercises 1 to 10. 
 
1.  
Solution:  Let  
First derivative: 
  
Second derivative: 
  
2.  
Solution:  Let  
Derivate y with respect to x, we get 
  
Derivate dy/dx with respect to x, we get 
  
3.  
Solution:  Let  
  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=  
=  
=  
=  
4.  
Solution:  Let  
  
  
  =  
5.  
Solution:  Let  
  
=  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
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6.  
Solution:  Let  
  
=  
 
=  
Now, 
  
=  
=  
Page 4


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.7                                                                Page No: 183 
 
Find the second order derivatives of the functions given in Exercises 1 to 10. 
 
1.  
Solution:  Let  
First derivative: 
  
Second derivative: 
  
2.  
Solution:  Let  
Derivate y with respect to x, we get 
  
Derivate dy/dx with respect to x, we get 
  
3.  
Solution:  Let  
  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=  
=  
=  
=  
4.  
Solution:  Let  
  
  
  =  
5.  
Solution:  Let  
  
=  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
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6.  
Solution:  Let  
  
=  
 
=  
Now, 
  
=  
=  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=  
7.  
Solution:  Let  
  
=  
=   
=  
Now, 
  
=  
=  
=  
8.  
Solution:  Let  
  
  
Page 5


 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
 
Exercise 5.7                                                                Page No: 183 
 
Find the second order derivatives of the functions given in Exercises 1 to 10. 
 
1.  
Solution:  Let  
First derivative: 
  
Second derivative: 
  
2.  
Solution:  Let  
Derivate y with respect to x, we get 
  
Derivate dy/dx with respect to x, we get 
  
3.  
Solution:  Let  
  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=  
=  
=  
=  
4.  
Solution:  Let  
  
  
  =  
5.  
Solution:  Let  
  
=  
=  
Now, 
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
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=  
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6.  
Solution:  Let  
  
=  
 
=  
Now, 
  
=  
=  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=  
7.  
Solution:  Let  
  
=  
=   
=  
Now, 
  
=  
=  
=  
8.  
Solution:  Let  
  
  
 
 
 
 
 
NCERT Solutions for Class 12 Maths Chapter 5 Continuity and 
Differentiability 
=  
=   
=  
9.  
Solution:  Let  
  
  
=  
  
=  
=  
=