Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
15. If
(
x
−
a
)
2
+
(
y
−
b
)
2
=
c
2
(x-a)^{2}+(y-b)^{2}=c^{2}
(
x
−
a
)
2
+
(
y
−
b
)
2
=
c
2
, for some
c
>
0
c>0
c
>
0
, prove that
[
1
+
(
d
y
d
x
)
2
]
3
2
d
2
y
d
x
2
\frac{\left[1+\left(\frac{d y}{d x}\right)^{2}\right]^{\frac{3}{2}}}{\frac{d^{2} y}{d x^{2}}}
d
x
2
d
2
y
[
1
+
(
d
x
d
y
)
2
]
2
3
is a constant independent of
a
a
a
and
b
b
b
.
Browse the problem library