Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
x
(
t
)
=
e
2
t
+
t
x(t)=e^{2t}+t
x
(
t
)
=
e
2
t
+
t
and
y
(
t
)
=
sin
(
3
t
)
y(t)=\sin(3t)
y
(
t
)
=
sin
(
3
t
)
for all real
t
t
t
. Calculate
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
as a function of
t
t
t
, simplifying your final expression.
Browse the problem library