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JEE Main Math Class 12 Limits and Derivatives Part 2 Questions
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© examsnet.com
Question : 40
Total: 56
If
2
x
y
+
3
y
x
=
20
, then
d
y
d
x
at
(
2
,
2
)
is equal to:
[6-Apr-2023 shift 1]
−
(
3
+
log
e
8
2
+
log
e
4
)
−
(
2
+
log
e
8
3
+
log
e
4
)
−
(
3
+
log
e
4
2
+
log
e
8
)
−
(
3
+
log
e
16
4
+
log
e
8
)
Validate
Solution:
2
x
y
+
3
y
x
=
20
v
1
v
2
(
v
2
1
v
1
+
ln
v
1
⋅
v
2
1
)
2
x
y
(
y
⋅
1
x
+
ln
x
d
y
d
x
)
+
3
y
x
(
x
1
y
⋅
d
y
d
x
+
ln
y
⋅
1
)
=
0
Put
(
2
,
2
)
2.4
(
1
+
ln
2
d
y
d
x
)
+
3
⋅
4
(
1
⋅
d
y
d
x
+
ln
2
)
=
0
d
y
d
x
[
8
ln
2
+
12
]
+
8
+
12
ln
2
=
0
d
y
d
x
=
−
[
2
+
3
ln
2
3
+
2
ln
2
]
=
−
[
2
+
ln
8
3
+
ln
4
]
© examsnet.com
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