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Mathematics
Mathematics
Problem
For the parametric equations
x
=
e
2
t
x=e^{2t}
x
=
e
2
t
and
y
=
ln
t
y=\ln t
y
=
ln
t
, find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
t
=
1
t=1
t
=
1
. a)
1
e
2
\dfrac{1}{e^{2}}
e
2
1
b)
1
2
e
2
\dfrac{1}{2e^{2}}
2
e
2
1
c)
2
e
2
\dfrac{2}{e^{2}}
e
2
2
d)
1
2
e
\dfrac{1}{2e}
2
e
1
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