Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
y
=
cot
−
1
(
1
+
x
1
−
x
)
y = \cot^{-1}\left(\frac{1+x}{1-x}\right)
y
=
cot
−
1
(
1
−
x
1
+
x
)
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
1
1
+
x
2
\frac{1}{1 + x^2}
1
+
x
2
1
(b)
−
1
1
+
x
2
-\frac{1}{1 + x^2}
−
1
+
x
2
1
(c)
2
1
+
x
2
\frac{2}{1 + x^2}
1
+
x
2
2
(d)
−
2
1
+
x
2
-\frac{2}{1 + x^2}
−
1
+
x
2
2
Browse the problem library