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Mathematics
Mathematics
Problem
If
x
=
a
sin
−
1
t
x = \sqrt{a^{\sin^{-1} t}}
x
=
a
s
i
n
−
1
t
,
y
=
a
cos
−
1
t
y = \sqrt{a^{\cos^{-1} t}}
y
=
a
c
o
s
−
1
t
, show that
d
y
d
x
=
−
y
x
.
(
2015
M
)
\frac{dy}{dx} = -\frac{y}{x}. \quad (2015M)
d
x
d
y
=
−
x
y
.
(
2015
M
)
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