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Byju's Answer
Standard XII
Mathematics
Differentiation Using Substitution
If y= -1x2, t...
Question
If
y
=
cot
−
1
(
x
2
)
, then
d
y
d
x
is equal to
A
2
x
1
+
x
4
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B
2
x
√
1
+
4
x
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C
−
2
x
1
+
x
4
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D
−
2
x
√
1
+
x
2
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Solution
The correct option is
C
−
2
x
1
+
x
4
y
=
cot
−
1
(
x
2
)
⇒
d
y
d
x
=
−
1
1
+
(
x
2
)
2
d
d
x
(
x
2
)
=
−
1
1
+
x
4
(
2
x
)
=
−
2
x
1
+
x
4
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0
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−
1
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−
1
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−
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=
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Differentiation Using Substitution
Standard XII Mathematics
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