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KEAM 2011 Math Paper
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© examsnet.com
Question : 49
Total: 120
If
2
y
=
s
i
n
−
1
(
x
+
5
y
)
,
then
d
x
d
y
is equal to
c
o
s
2
y
−
5
2
c
o
s
y
+
5
c
o
s
2
y
+
5
2
c
o
s
2
y
+
5
2
c
o
s
2
y
−
5
Validate
Solution:
2
y
=
sin
−
1
(
x
+
5
y
)
⇒
sin
2
y
=
x
+
5
y
⇒
x
=
sin
2
y
−
5
y
On differentiating w.r.t.
y
,
⇒
d
x
d
y
=
2
cos
2
y
−
5
© examsnet.com
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