Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
y
y
y
is a function of
x
x
x
and
x
x
x
is a function of
t
t
t
, which of the following relations is correct? a)
d
y
d
t
=
d
x
/
d
t
d
x
/
d
y
\displaystyle \frac{dy}{dt}=\frac{dx/dt}{dx/dy}
d
t
d
y
=
d
x
/
d
y
d
x
/
d
t
b)
d
y
d
t
=
2
d
y
d
x
d
x
d
t
\displaystyle \frac{dy}{dt}=2\,\frac{dy}{dx}\,\frac{dx}{dt}
d
t
d
y
=
2
d
x
d
y
d
t
d
x
c)
d
y
d
t
=
d
y
d
x
d
x
d
t
\displaystyle \frac{dy}{dt}=\frac{dy}{dx}\,\frac{dx}{dt}
d
t
d
y
=
d
x
d
y
d
t
d
x
d)
d
y
d
t
=
d
y
/
d
x
d
t
/
d
x
\displaystyle \frac{dy}{dt}=\frac{dy/dx}{dt/dx}
d
t
d
y
=
d
t
/
d
x
d
y
/
d
x
Browse the problem library