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KEAM 2017 Math Paper
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© examsnet.com
Question : 16
Total: 120
If
f
(
x
)
=
√
2
x
+
4
√
2
x
,
then f ′(2) is equal to
0
– 1
1
2
– 2
Validate
Solution:
We have,
f
(
x
)
=
√
2
x
+
4
√
2
x
=
√
2
x
+
4
(
2
x
)
1
2
⇒
f
′
(
x
)
=
1
2
√
2
x
−
2
+
4
[
−
1
2
(
2
x
)
−
3
/
2
(
2
)
]
=
1
√
2
√
x
−
4
(
2
x
)
3
/
2
=
1
√
2
√
x
−
4
2
√
2
x
3
/
2
=
1
√
2
√
x
−
√
2
x
√
x
∴
f
′
(
2
)
=
1
√
2
√
2
−
√
2
2
√
2
=
1
2
−
1
2
=
0
© examsnet.com
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