Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Explain why the condition
f
′
(
t
)
≠
0
f'(t)\neq 0
f
′
(
t
)
=
0
is essential when writing
d
y
d
x
=
d
y
/
d
t
d
x
/
d
t
\dfrac{dy}{dx}=\dfrac{dy/dt}{dx/dt}
d
x
d
y
=
d
x
/
d
t
d
y
/
d
t
for a parametric curve
x
=
f
(
t
)
,
y
=
g
(
t
)
x=f(t),\;y=g(t)
x
=
f
(
t
)
,
y
=
g
(
t
)
.
Browse the problem library