  # 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)

### 3. 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  ### 7. Ans. Let y=y=       ### 8. 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 