NCERT Solutions for Class 12 Maths Exercise 5.2 Chapter 5 Continuity and Differentiability – FREE PDF Download
Free PDF download of NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.2 (Ex 5.2) 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 5.2 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 5.2 (Ex 5.2)
Differentiate the functions with respect to 
in Exercise 1 to 8.
1. 
= 
= 
2. 
= 
=−cosx.sin(sinx)=−cosx.sin(sinx)
3.
= 
= 
4.
= 
= 
= 
=sec(tanx√).tan(tanx√).sec2x√2x√=sec(tanx).tan(tanx).sec2x2x
5.
Using quotient rule,
=
= 
=a.cos(cx+d)cos(ax+b)cos2(cx+d)+c.sin(ax+b)sin(cx+d)cos2(cx+d)=a.cos(cx+d)cos(ax+b)cos2(cx+d)+c.sin(ax+b)sin(cx+d)cos2(cx+d)
=a.cos(ax+b).sec(cx+d)+c.sin(ax+b).tan(cx+d).sec(cx+d)=a.cos(ax+b).sec(cx+d)+c.sin(ax+b).tan(cx+d).sec(cx+d)
6.
= 
=cosx3.2sin(x5).cos(x5)ddx(x5)+sin2(x5)(−sinx3)3x2=cosx3.2sin(x5).cos(x5)ddx(x5)+sin2(x5)(−sinx3)3×2
= 
= 
7.
= 
= 
= 
8.
= 
= 
9. Prove that the function given by is not differentiable at
given by 
is not differentiable at
= 
= 
= 
= 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
and
R
= 
= 
= 
= 0
And L
= 
= 
= 
Since R L
Therefore, 
is not differentiable at
Similarly, is not differentiable at 