# RD Sharma Solution CLass 12 Mathematics Chapter 11 Differentiation

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4

Solution 4

Question 5
Solution 5
Question 6
Solution 6
Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

## Chapter 11 – Differentiation Exercise Ex. 11.2

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16

Solution 16

Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24

Solution 24

Question 25
Solution 25
Question 26
Solution 26

Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39
Question 40
Solution 40
Question 41
Solution 41
Question 42
Solution 42
Question 43
Solution 43
Question 44
Solution 44
Question 45
Solution 45

Question 46
Solution 46
Question 47
Solution 47
Question 48
Solution 48
Question 49
Solution 49
Question 50
Solution 50
Question 51
Solution 51
Question 52
Solution 52
Question 53

Differentiate the
following functions with respect to x:

Solution 53

Question 54
Solution 54
Question 55
Solution 55
Question 56
Solution 56
Question 57
Solution 57
Question 58
Solution 58
Question 59
Solution 59
Question 60
Solution 60
Question 61
Solution 61
Question 62
Solution 62
Question 63
Solution 63
Question 64
Solution 64
Question 65
Solution 65
Question 66
Solution 66
Question 67
Solution 67
Question 68
Solution 68
Question 69
Solution 69
Question 70
Solution 70
Question 71
Solution 71
Question 72
Solution 72
Question 73
Solution 73
Question 74
Solution 74

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39

Question 40
Solution 40
Question 41
Solution 41
Question 42
Solution 42

Question 43
Solution 43
Question 44
Solution 44
Question 45
Solution 45
Question 46
Solution 46
Question 47
Solution 47
Question 48

Solution 48

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20

Question 21
Solution 21

Question 22
Solution 22

Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25

Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32

Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39
Question 40
Solution 40

Question 41
Solution 41
Question 42
Solution 42
Question 43
Solution 43
Question 44
Solution 44
Question 45
Solution 45
Question 46
Solution 46
Question 47
Solution 47
Question 48
Solution 48
Question 49
Solution 49
Question 50
Solution 50
Question 51
Solution 51
Question 52
Solution 52
Question 53
Solution 53
Question 54
Solution 54
Question 55
Solution 55
Question 56
Solution 56
Question 57
Solution 57
Question 58
Solution 58
Question 59
Solution 59
Question 60
Solution 60
Question 61
Solution 61
Question 62
Solution 62
Question 63
Solution 63
Question 64
Solution 64
Question 65

Solution 65

Question 66

Solution 66

Question 67

Solution 67

Question 68

Solution 68

Question 69

Solution 69

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7

Question 8
Solution 8

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8

Question 9
Solution 9
Question 10
Solution 10

Question 11
Solution 11

Question 12
Solution 12
Question 13
Solution 13

Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19

Question 20
Solution 20
Question 21
Solution 21

Question 22
Solution 22
Question 23
Solution 23
Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5

Solution 5

Question 6

Solution 6

Question 7
Solution 7
Question 8
Solution 8

Question 9
Solution 9

Question 10
Solution 10

Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13

Question 14
Solution 14

Question 15
Solution 15

Question 16
Solution 16

Question 17
Solution 17
Question 18
Solution 18

Question 19
Solution 19

Question 20
Solution 20

Question 21
Solution 21

Question 22
Solution 22

Question 23
Solution 23

Question 24
Solution 24

## Chapter 11 – Differentiation Exercise Ex. 11VSAQ

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Write the derivative of sin x with respect to cos
x.

Solution 28

## Chapter 11 – Differentiation Exercise MCQ

Question 1

If f(x) = logx2 (log x), then f’ (x) at x = e is

a. 0

b. 1

c. 1/e

d. 1/2 e

Solution 1

Correct option: (d)

Question 2

The differential coefficient of f (log x) with respect to x, where f (x) = log x is

Solution 2

Correct option: (c)

Question 3

Solution 3

Correct option: (a)

Question 4

Differential coefficient of sec (tan-1 x) is

Solution 4

Correct option: (d)

Question 5

Solution 5

Correct option: (d)

Question 6

Solution 6

Correct option: (a)

Question 7

Solution 7

Correct option: (d)

Question 8

Given f(x) = 4x8, then

Solution 8

Correct option: (c)

Question 9

Solution 9

Correct option: (d)

Question 10

Solution 10

Correct option:(a)

Question 11

Solution 11

Correct option: (a)

Question 12

Solution 12

Correct option: (c)

Question 13

Solution 13

Correct option: (d)

Question 14

1. 1/2
2. x

1. 1
Solution 14

Correct option: (d)

Question 15

Solution 15

Correct option: (b)

Question 16

Solution 16

Correct option: (a)

Question 17

Solution 17

Correct option: (d)

Question 18

Solution 18

Correct option: (a)

Question 19

Solution 19

Correct option: (b)

Question 20

The derivative of cos-1 (2x2 – 1) with respect to cos-1 x is

Solution 20

Correct option: (a)

Question 21

Solution 21

Correct option: (b)

Question 22

Solution 22

Correct option: (c)

Question 23

Solution 23

Correct option:(d)

Question 24

Solution 24

Correct option: (a)

Question 25

Solution 25

Correct option: (b)

Question 26

Solution 26

Correct option: (c)

Question 27

Solution 27

Correct option:(a)

Question 28

Solution 28

Correct option: (b)

Question 29

Solution 29

Correct option: (b)

Question 30

Solution 30

Correct option: (a)

Question 31

Solution 31

Correct option: (b)

Question 32

Solution 32

Correct option: (a)

Question 33

Solution 33

Correct option: (c)

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