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Mathematics
Problem
Let
x
(
t
)
=
ln
t
x(t)=\ln t
x
(
t
)
=
ln
t
and
y
(
t
)
=
t
2
y(t)=t^{2}
y
(
t
)
=
t
2
for
t
>
0
t>0
t
>
0
. Calculate the slope
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
of the curve at
t
=
e
t=e
t
=
e
. a)
2
e
2e
2
e
b)
2
e
2
\dfrac{2}{e^{2}}
e
2
2
c)
2
e
2
2e^{2}
2
e
2
d)
2
2
2
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