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Mathematics
Mathematics
Problem
Find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
, for
y
=
tan
−
1
(
a
−
x
a
+
x
)
y = \tan^{-1} \left( \frac{\sqrt{a-x}}{\sqrt{a+x}} \right)
y
=
tan
−
1
(
a
+
x
a
−
x
)
, where
−
a
<
x
<
a
-a < x < a
−
a
<
x
<
a
.
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