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Mathematics
Problem
The variables
x
x
x
and
y
y
y
satisfy
sec
y
+
cot
y
=
x
\sec y+\cot y=x
sec
y
+
cot
y
=
x
. Evaluate
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at the point where
y
=
π
4
y=\dfrac{\pi}{4}
y
=
4
π
.
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