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Mathematics
Mathematics
Problem
A particle moves along a curve given parametrically by
x
(
t
)
=
t
2
+
3
t
,
y
(
t
)
=
ln
(
t
+
2
)
,
t
>
−
2.
x(t)=t^{2}+3t, \quad y(t)=\ln(t+2), \qquad t>-2.
x
(
t
)
=
t
2
+
3
t
,
y
(
t
)
=
ln
(
t
+
2
)
,
t
>
−
2.
Find
d
y
d
x
\displaystyle\frac{dy}{dx}
d
x
d
y
at
t
=
1
t=1
t
=
1
by computing the appropriate limit. Provide the exact value.
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