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Mathematics
Problem
Let
y
=
arcsin
(
x
2
)
y=\arcsin\left(x^{2}\right)
y
=
arcsin
(
x
2
)
. Which of the following is
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
? a)
1
1
−
x
4
\dfrac{1}{\sqrt{1-x^{4}}}
1
−
x
4
1
b)
2
x
1
+
x
4
\dfrac{2x}{1+x^{4}}
1
+
x
4
2
x
c)
2
x
1
−
x
4
\dfrac{2x}{\sqrt{1-x^{4}}}
1
−
x
4
2
x
d)
2
x
1
−
x
2
\dfrac{2x}{\sqrt{1-x^{2}}}
1
−
x
2
2
x
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