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Mathematics
Mathematics
Problem
State the relationship between
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
,
d
y
d
t
\dfrac{dy}{dt}
d
t
d
y
and
d
x
d
t
\dfrac{dx}{dt}
d
t
d
x
for a curve given parametrically by
x
=
f
(
t
)
x=f(t)
x
=
f
(
t
)
and
y
=
g
(
t
)
y=g(t)
y
=
g
(
t
)
where
f
′
(
t
)
≠
0
f'(t)\neq0
f
′
(
t
)
=
0
.
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