Functional Equation Derivative Relation (Jee Ma… | ExamDuo
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Advanced Methods
Medium
Functional Equation Derivative Relation
Let
f
:
ℝ
−
{
0
}
→
ℝ
be a function satisfying
f
(
x
y
)
=
f
(
x
)
f
(
y
)
for all
x
,
y
,
f
(
y
)
≠
0
. If
f
′
(
1
)
=
2024
, then
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SELECT ONE OPTION
A
xf
′
(
x
)
−
2024
f
(
x
)
=
0
B
xf
′
(
x
)
+
2024
f
(
x
)
=
0
C
xf
′
(
x
)
+
f
(
x
)
=
2024
D
xf
′
(
x
)
−
2023
f
(
x
)
=
0
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