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Byju's Answer
Standard XII
Mathematics
Quotient Rule of Differentiation
Find the deri...
Question
Find the derivative of the following function
f(x) =
3
x
cot
45
°
2
x
A
f
'
(
x
)
=
3
x
×
(
2
x
)
+
2
(
3
x
)
2
x
2
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B
f
'
(
x
)
=
3
x
×
(
2
x
)
+
2
(
3
x
)
4
x
2
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C
f
'
(
x
)
=
3
x
ln
3
×
(
2
x
)
−
2
(
3
x
)
4
x
2
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D
f
'
(
x
)
=
3
x
×
(
2
x
)
−
2
(
3
x
)
4
x
2
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Solution
The correct option is
C
f
'
(
x
)
=
3
x
ln
3
×
(
2
x
)
−
2
(
3
x
)
4
x
2
cot
45
°
=
constant
=
1
f
(
x
)
=
3
x
2
x
Using division rule -
f
'
(
x
)
=
d
(
3
x
)
dx
×
(
2
x
)
−
d
(
2
x
)
dx
×
3
x
(
2
x
)
2
f
'
(
x
)
=
3
x
ln
3
×
(
2
x
)
−
2
(
3
x
)
4
x
2