Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
e
y
+
x
y
=
e
e^y + xy = e
e
y
+
x
y
=
e
the ordered pair
(
d
y
d
x
,
d
2
y
d
x
2
)
\left(\frac{dy}{dx}, \frac{d^2y}{dx^2}\right)
(
d
x
d
y
,
d
x
2
d
2
y
)
at
x
=
0
x = 0
x
=
0
is equal to (a)
(
1
e
,
1
e
2
)
\left(\frac{1}{e}, \frac{1}{e^2}\right)
(
e
1
,
e
2
1
)
(b)
(
1
e
,
−
1
e
2
)
\left(\frac{1}{e}, -\frac{1}{e^2}\right)
(
e
1
,
−
e
2
1
)
(c)
(
−
1
e
,
−
1
e
2
)
\left(-\frac{1}{e}, -\frac{1}{e^2}\right)
(
−
e
1
,
−
e
2
1
)
(d)
(
−
1
e
,
1
e
2
)
\left(-\frac{1}{e}, \frac{1}{e^2}\right)
(
−
e
1
,
e
2
1
)
(2022)
Browse the problem library