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Mathematics
Problem
Let
x
(
t
)
=
e
t
+
t
x(t)=e^{t}+t
x
(
t
)
=
e
t
+
t
and
y
(
t
)
=
e
t
y(t)=e^{t}
y
(
t
)
=
e
t
for all real
t
t
t
. Find the value of
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
t
=
0
t=0
t
=
0
. a)
−
1
8
-\dfrac{1}{8}
−
8
1
b)
1
4
\dfrac{1}{4}
4
1
c)
1
8
\dfrac{1}{8}
8
1
d)
1
2
\dfrac{1}{2}
2
1
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