# NCERT Solutions class 12 Maths Exercise 5.2 (Ex 5.2) Chapter 5 Continuity and Differentiability

## 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.

Ans. Let

### 2.

Ans. Let

=cosx.sin(sinx)=−cosx.sin(sinx)

Ans. Let

### 4.

Ans. Let

=sec(tanx).tan(tanx).sec2x2x=sec(tanx).tan(tanx).sec2x2x

### 5.

Ans. Let

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.

Ans. Let

=cosx3.2sin(x5).cos(x5)ddx(x5)+sin2(x5)(sinx3)3x2=cosx3.2sin(x5).cos(x5)ddx(x5)+sin2(x5)(−sinx3)3×2

Ans. Let y=y=

Ans. Let

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

Ans. Given:

=  = 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