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KEAM 2018 Math Paper
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© examsnet.com
Question : 42
Total: 120
If
f
(
x
)
=
x
6
+
6
x
,
then
f
′
(
x
)
is equal to
12
x
x
+
4
6
x
5
+
6
x
log
(
6
)
6
x
5
+
x
6
x
−
1
x
6
Validate
Solution:
f
(
x
)
=
x
6
+
6
x
f
′
(
x
)
=
6
x
5
+
6
x
log
(
6
)
[
∵
d
d
x
(
x
n
)
=
n
x
n
−
1
]
[
∵
d
d
x
(
a
x
)
=
a
x
log
(
a
)
]
© examsnet.com
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