RD Sharma Solutions For Class 12 Maths Exercise 11.2 Chapter 11 Differentiation

Exercise 11.2 of Chapter 11, Differentiation consists of problems on the differentiation of a function of a function. These problems are solved by BYJU’S experts in a descriptive way to speed up the exam preparation of students. RD Sharma Solutions for Class 12 provides detailed theory with illustrations, which makes learning easy for the students. These solutions will change every student’s approach towards mathematics and help them learn all the concepts provided in the textbook. This exercise includes seventy-four questions. Here, students will learn to differentiate the given function using chain rule.

RD Sharma Solutions For Class 12 Differentiation Exercise 11.2:-Download PDF Here

RD Sharma Class 12 Maths Solutions Chapter 11 Differentiation Exercise 11.2
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Access other exercises of RD Sharma Solutions For Class 12 Chapter 11 – Differentiation

Exercise 11.1 Solutions

Exercise 11.3 Solutions

Exercise 11.4 Solutions

Exercise 11.5 Solutions

Exercise 11.6 Solutions

Exercise 11.7 Solutions

Exercise 11.8 Solutions

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 11 – Differentiation Exercise 11.2

Exercise 11.2 Page No: 11.37

Differentiate the following functions with respect to x:

1. Sin (3x + 5)

Solution:

Given Sin (3x + 5)

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 9

2. tan2 x

Solution:

Given tan2 x

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 10

3. tan (xo + 45o)

Solution:

Let y = tan (x° + 45°)

First, we will convert the angle from degrees to radians.

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 11

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 12

4. Sin (log x)

Solution:

Given sin (log x)

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 13

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 14

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Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 16

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 17

6. etan x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 18

7. Sin2 (2x + 1)

Solution:

Let y = sin2 (2x + 1)

On differentiating y with respect to x, we get

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 19

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 20

8. log7 (2x – 3)

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 21

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 22

9. tan 5xo

Solution:

Let y = tan (5x°)

First, we will convert the angle from degrees to radians. We have

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 23

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 25

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 27

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12. logx 3

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 29
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Solution:

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Solution:

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Solution:

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Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 43

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Solution:

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 54

18. (log sin x)2

Solution:

Let y = (log sin x)2

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 55

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 57

Solution:

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Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 63

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 64

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 65

21. e3x cos 2x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 66

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 67

22. Sin (log sin x)

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 68

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 69

23. etan 3x

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 70

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 71

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 72

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 73

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Solution:

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Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 81

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RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 84

27. tan (esin x)

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 85

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 86

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 87

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 88

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 89

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 90

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 91

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 92

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30. log (cosec x – cot x)

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 95

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 96

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 97

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 98

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 99

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 100

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 101

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 102

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 103

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33. tan-1 (ex)

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 107

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 108

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 109

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 110

35. sin (2 sin-1 x)

Solution:

Let y = sin (2sin–1x)

On differentiating y with respect to x, we get

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 111

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 112

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 113

Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 114

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Solution:

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 117

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 118

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 119

RD Sharma Solutions for Class 12 Maths Chapter 11 Diffrentiation Image 120

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