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