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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
If y=asin 5...
Question
If
y
=
a
sin
(
5
x
+
c
)
, then
A
d
y
d
x
=
5
y
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B
d
y
d
x
=
−
5
y
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C
d
2
y
d
x
2
=
−
25
y
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D
d
2
y
d
x
2
=
25
y
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Solution
The correct option is
C
d
2
y
d
x
2
=
−
25
y
Given,
y
=
a
sin
(
5
x
+
c
)
On differentiating with respect to
x
, we get
d
y
d
x
=
5
a
cos
(
5
x
+
c
)
On again differentiating with respect to
x
, we get
d
2
y
d
x
2
=
−
25
a
sin
(
5
x
+
c
)
=
−
25
y
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