NCERT Solutions Class 12

NCERT Solutions Class 12

Continuity and Differentiability : NCERT Solutions – Class 12 Maths (Ex 2)

Exercise 5.2

Differentiate the functions with respect to  in Exercise 1 to 8.

1.  

Ans. Let 

  


2.  

Ans. Let 

  


3.  

Ans. Let 

  

 = 


4.  

Ans. Let 

  


5.  

Ans. Let 

Using quotient rule,

  

=


6.  

Ans. Let 

  


7.  

Ans. Let 

  


8.  

Ans. Let 

  


 

9. Prove that the function  given by  is not differentiable at  

Ans. Given:     

 

R

 =  = 1

And L

Since   R L

Therefore,  is not differentiable at 


 

10. Prove that the greatest integer function defined by  is not differentiable at  and  

Ans. Given:     

R

 = 

 = 0

And L

 = 

Since   R L

Therefore,  is not differentiable at 

Similarly,  is not differentiable at 

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