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Byju's Answer
Standard XII
Mathematics
Higher Order Derivatives
If x+1x4x+2...
Question
If
x
+
1
x
4
(
x
+
2
)
=
A
x
+
B
x
2
+
C
x
3
+
D
x
4
+
E
x
+
2
⇒
B
+
D
+
E
=
A
A
+
C
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B
A
−
C
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C
2
A
+
2
C
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D
2
A
+
C
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Solution
The correct option is
C
A
+
C
x
+
1
x
4
(
x
+
2
)
=
A
x
+
B
x
2
+
C
x
3
+
D
x
4
+
E
x
+
2
Put
x
=
−
1
in the above equation,
−
1
+
1
(
−
1
)
4
(
−
1
+
2
)
=
−
A
+
B
−
C
+
D
+
E
0
=
−
A
+
B
−
C
+
D
+
E
⇒
B
+
D
+
E
=
A
+
C
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0
Similar questions
Q.
x
+
1
x
4
(
x
+
2
)
=
A
x
+
B
x
2
+
C
x
3
+
D
x
4
+
E
x
+
2
⇒
B
+
D
+
E
=
Q.
If
x
2
+
3
x
4
(
x
+
3
)
=
A
x
+
3
+
B
x
+
C
x
2
+
D
x
3
+
E
x
4
, then
C
=
Q.
If
A
+
D
=
B
+
C
,
A
+
E
=
C
+
D
,
2
C
<
A
+
E
and
2
A
>
B
+
D
,
then
Q.
If A + D = B + C, A + E = C + D, 2C, < A + E and 2A> B + D then ______________.
Q.
If x
2
− 1 is a factor of ax
4
+ bx
3
+ cx
2
+ dx + e, then
(a) a + c + e = b + d
(b) a + b +e = c + d
(c) a + b + c = d + e
(d) b + c + d = a + e