Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
14. If
x
1
+
y
+
y
1
+
x
=
0
x \sqrt{1+y}+y \sqrt{1+x}=0
x
1
+
y
+
y
1
+
x
=
0
, for ,
−
1
<
x
<
1
-1<x<1
−
1
<
x
<
1
, prove that
d
y
d
x
=
−
1
(
1
+
x
)
2
\frac{d y}{d x}=-\frac{1}{(1+x)^{2}}
d
x
d
y
=
−
(
1
+
x
)
2
1
Browse the problem library