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Mathematics
Mathematics
Problem
For a curve defined parametrically by
x
=
f
(
t
)
x=f(t)
x
=
f
(
t
)
and
y
=
g
(
t
)
y=g(t)
y
=
g
(
t
)
, which of the following expressions gives
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
in terms of derivatives with respect to
t
t
t
? a)
d
y
d
t
d
x
d
t
\dfrac{dy}{dt}\,\dfrac{dx}{dt}
d
t
d
y
d
t
d
x
b)
d
x
d
t
d
y
d
t
\dfrac{\dfrac{dx}{dt}}{\dfrac{dy}{dt}}
d
t
d
y
d
t
d
x
c)
d
y
d
t
d
x
d
t
\dfrac{\dfrac{dy}{dt}}{\dfrac{dx}{dt}}
d
t
d
x
d
t
d
y
d)
d
y
d
t
+
d
x
d
t
\dfrac{dy}{dt}+\dfrac{dx}{dt}
d
t
d
y
+
d
t
d
x
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