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Mathematics
Problem
Explain, in one concise sentence, why for differentiable parametric functions
x
(
t
)
x(t)
x
(
t
)
and
y
(
t
)
y(t)
y
(
t
)
with
d
x
d
t
≠
0
\frac{dx}{dt}\neq0
d
t
d
x
=
0
, the derivative
d
y
d
x
\frac{dy}{dx}
d
x
d
y
at a given value of
t
t
t
equals
d
y
/
d
t
d
x
/
d
t
\dfrac{dy/dt}{dx/dt}
d
x
/
d
t
d
y
/
d
t
.
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