# NCERT Solutions class 12 Maths Exercise 5.3 (Ex 5.3) Chapter 5 Continuity and Differentiability

## NCERT Solutions for Class 12 Maths Exercise 5.3 Chapter 5 Continuity and Differentiability – FREE PDF Download

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.3 (Ex 5.3) 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 5.3 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 5.3 (Ex 5.3)

Find  in the following Exercise 1 to 15.

1.

Ans. Given:

### 2.

Ans. Given:

### 3.

Ans. Given:

### 4.

Ans. Given:

[By Product Rule]

### 5.

Ans. Given:

### 6.

Ans. Given:

ddxx3+ddxx2y+ddxxy2+ddxy3=ddx81ddxx3+ddxx2y+ddxxy2+ddxy3=ddx81

dydx=(3x2+2xy+y2)x2+2xy+3y2dydx=−(3×2+2xy+y2)x2+2xy+3y2

### 7.

Ans. Given:

### 8.

Ans. Given:

ddx(sin2x)+ddx(cos2y)=ddx(1)⟹ddx(sin2x)+ddx(cos2y)=ddx(1)

### 9.

Ans. Given:

To simplify the given Inverse Trigonometric function, putting

=

### 10.

Ans. Given:

To simplify the given Inverse Trigonometric function, putting

Ans. Given:

Putting

=  =

Ans. Given:
Putting

=

### 13.

Ans. Given:
Putting

cos1(sin2θ)cos−1(sin⁡2θ)

Ans. Given:
Putting

### 15.

Ans. Given:
Putting

y=sec1(12cos2θ1)y=sec−1(12cos2θ−1)