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Mathematics
Problem
For
x
>
1
x>1
x
>
1
, let
y
=
arcsec
x
y=\operatorname{arcsec} x
y
=
arcsec
x
. Which of the following is the correct formula for
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
? a)
−
1
x
x
2
−
1
-\dfrac{1}{x\sqrt{x^{2}-1}}
−
x
x
2
−
1
1
b)
1
x
x
2
−
1
\dfrac{1}{x\sqrt{x^{2}-1}}
x
x
2
−
1
1
c)
1
x
2
−
1
\dfrac{1}{\sqrt{x^{2}-1}}
x
2
−
1
1
d)
1
x
x
2
+
1
\dfrac{1}{x\sqrt{x^{2}+1}}
x
x
2
+
1
1
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