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Mathematics
Mathematics
Problem
For the curve given by
x
(
t
)
=
e
t
x(t)=e^{t}
x
(
t
)
=
e
t
and
y
(
t
)
=
ln
(
1
+
t
)
y(t)=\ln(1+t)
y
(
t
)
=
ln
(
1
+
t
)
, determine the numerical value of
d
2
y
d
x
2
\displaystyle \frac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
t
=
0
t=0
t
=
0
.
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