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AMU Engineering 2020 solved paper Solved Paper
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© examsnet.com
Question : 144
Total: 150
If
f
(
1
)
=
3
,
f
′
(
1
)
=
−
1
3
, then the derivative of
{
x
11
+
f
(
x
)
}
−
2
at
x
=
1
, is
−
1
2
−
1
1
f
′
(
1
)
Validate
Solution:
Let
g
(
x
)
=
{
x
11
+
f
(
x
)
}
−
2
. Then,
g
′
(
x
)
=
−
2
{
x
11
+
f
(
x
)
}
−
3
{
11
x
10
+
f
′
(
x
)
}
⇒
g
′
(
1
)
=
−
2
{
1
+
f
(
1
)
}
−
3
{
11
+
f
′
(
1
)
}
⇒
g
′
(
1
)
=
−
2
(
1
+
3
)
−
3
(
11
−
1
3
)
=
−
1
3
=
f
′
(
1
)
© examsnet.com
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