Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
y
2
+
log
e
(
cos
2
x
)
=
y
y^2 + \log_e(\cos^2 x) = y
y
2
+
lo
g
e
(
cos
2
x
)
=
y
,
x
∈
(
−
π
2
,
π
2
)
x \in \left( -\frac{\pi}{2}, \frac{\pi}{2} \right)
x
∈
(
−
2
π
,
2
π
)
, then: (a)
∣
y
′
(
0
)
∣
+
∣
y
′
′
(
0
)
∣
=
3
|y'(0)| + |y''(0)| = 3
∣
y
′
(
0
)
∣
+
∣
y
′′
(
0
)
∣
=
3
(b)
∣
y
′
(
0
)
∣
+
∣
y
′
′
(
0
)
∣
=
1
|y'(0)| + |y''(0)| = 1
∣
y
′
(
0
)
∣
+
∣
y
′′
(
0
)
∣
=
1
(c)
y
′
′
(
0
)
=
2
y''(0) = 2
y
′′
(
0
)
=
2
(d)
∣
y
′
′
(
0
)
∣
=
2
|y''(0)| = 2
∣
y
′′
(
0
)
∣
=
2
Browse the problem library