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Mathematics
Mathematics
Problem
If
y
=
tan
x
+
cot
x
tan
x
−
cot
x
y = \frac{\tan x + \cot x}{\tan x - \cot x}
y
=
t
a
n
x
−
c
o
t
x
t
a
n
x
+
c
o
t
x
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
2
tan
2
x
sec
2
x
2 \tan 2x \sec 2x
2
tan
2
x
sec
2
x
(b)
tan
2
x
sec
2
x
\tan 2x \sec 2x
tan
2
x
sec
2
x
(c)
−
tan
2
x
sec
2
x
-\tan 2x \sec 2x
−
tan
2
x
sec
2
x
(d)
−
2
tan
2
x
sec
2
x
-2 \tan 2x \sec 2x
−
2
tan
2
x
sec
2
x
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