Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If
d
d
x
(
∫
0
y
e
−
t
2
d
t
+
∫
0
x
2
sin
2
t
d
t
)
=
0
\frac{d}{dx} \left( \int_{0}^{y} e^{-t^2} dt + \int_{0}^{x^2} \sin^2 t \, dt \right) = 0
d
x
d
(
∫
0
y
e
−
t
2
d
t
+
∫
0
x
2
sin
2
t
d
t
)
=
0
…
Mathematics
Problem
If
d
d
x
(
∫
0
y
e
−
t
2
d
t
+
∫
0
x
2
sin
2
t
d
t
)
=
0
\frac{d}{dx} \left( \int_{0}^{y} e^{-t^2} dt + \int_{0}^{x^2} \sin^2 t \, dt \right) = 0
d
x
d
(
∫
0
y
e
−
t
2
d
t
+
∫
0
x
2
sin
2
t
d
t
)
=
0
, find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
.
Browse the problem library