Class 12-commerce RD SHARMA Solutions Maths Chapter 12: Higher Order Derivatives
Ex. 12.1
MCQ
Ex. 12VSAQ
Higher Order Derivatives Exercise Ex. 12.1
Solution 1(i)
Solution 1(ii)
Solution 1(iii)
Solution 1(iv)
Solution 1(v)
Solution 1(vi)
Solution 1(vii)
Solution 1(viii)
Solution 1(ix)
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Given: 
Differentiating
'x' w.r.t 
we get
Differentiating
'y' w.r.t we get
Dividing (ii) by (i), we get
… (iii)
Differentiating above equation w.r.t x, we get
Hence, 
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Solution 25
Solution 26
Solution 27
Solution 28
Solution 29
Solution 30
Solution 31
Solution 32
Solution 33
Solution 34
Solution 35
Solution 36
Solution 37
Solution 38
Solution 39
Solution 40
Solution 41
Solution 42
Solution 43
Solution 44
Solution 45
Solution 46
Solution 47
Solution 48
Given: 
Differentiating 'x' w.r.t t, we get
Differentiating 'y' w.r.t t, we get
Dividing (ii) by (i), we get
Differentiating above equation w.r.t x, we get
Hence, 
Solution 49
Solution 50
Solution 51
Solution 52
Solution 53
Higher Order Derivatives Exercise MCQ
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Correct option: (d)
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Question is incorrect.
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Solution 25
Solution 26
Solution 27
Given: 
Differentiating the above equation w.r.t x, we get
Differentiating the equation (i) w.r.t x, we get
Solution 28
Given: 
Differentiating the above equation w.r.t x, we get
Again differentiating w.r.t x, we get
Higher Order Derivatives Exercise Ex. 12VSAQ
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
