Exercise 5.2
Download as PDF.
NCERT Solutions class 12 Continuity & Differentiability
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 
= 
= 
NCERT Solutions class 12 Maths Exercise 5.2
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
NCERT Solutions class 12 Maths Exercise 5.2
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