Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
After differentiating the equation
x
2
+
y
2
=
25
x^{2}+y^{2}=25
x
2
+
y
2
=
25
implicitly, a student obtained
d
y
d
x
=
−
2
x
2
y
.
\frac{dy}{dx}=\frac{-2x}{2y}.
d
x
d
y
=
2
y
−
2
x
.
Using this (unsimplified) form of
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
, what is the value of
d
2
y
d
x
2
\displaystyle\frac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at the point
(
4
,
3
)
(4,3)
(
4
,
3
)
on the curve? a)
−
25
9
-\dfrac{25}{9}
−
9
25
b)
25
27
\dfrac{25}{27}
27
25
c)
−
25
27
-\dfrac{25}{27}
−
27
25
d)
−
27
25
-\dfrac{27}{25}
−
25
27
Browse the problem library