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Standard XII
Mathematics
Question
If
y
=
1
+
x
+
x
2
2
!
+
x
3
3
!
+
.
.
.
.
+
x
n
n
!
, then
d
y
d
x
is equal to
y
y
+
x
n
n
!
y
−
x
n
n
!
y
−
1
−
x
n
n
!
A
y
−
1
−
x
n
n
!
B
y
C
y
−
x
n
n
!
D
y
+
x
n
n
!
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Solution
Verified by Toppr
Given,
y
=
1
+
x
+
x
2
2
!
+
x
3
3
!
+
.
.
.
.
.
.
.
.
.
.
.
+
x
n
n
!
Differentiate
y
with respect to
x
, we get
d
y
d
x
=
0
+
1
+
2
x
2
!
+
3
x
2
3
!
+
4
x
3
4
!
+
.
.
.
.
.
.
.
.
d
y
d
x
=
1
+
x
+
x
2
2
!
+
x
3
3
!
+
.
.
.
.
.
.
−
x
n
−
1
n
−
1
!
d
y
d
x
=
y
−
x
n
n
!
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Similar Questions
Q1
If
y
=
1
+
x
+
x
2
2
!
+
x
3
3
!
+
.
.
.
.
+
x
n
n
!
, then
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is equal to
View Solution
Q2
If
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!
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.
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n
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!
then
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Q3
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=
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−
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(
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−
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x
n
+
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−
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)
then
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(
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Q4
If
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Q5
If
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)
−
1
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)
=
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x
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;
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