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Mathematics
Problem
Let
p
(
x
)
=
e
2
x
p(x)=e^{2x}
p
(
x
)
=
e
2
x
,
q
(
x
)
=
2
e
2
x
q(x)=2e^{2x}
q
(
x
)
=
2
e
2
x
, and
r
(
x
)
=
4
e
2
x
r(x)=4e^{2x}
r
(
x
)
=
4
e
2
x
. One of these curves is
f
f
f
, one is
f
′
f'
f
′
(i.e., the first derivative), and one is
f
′
′
f''
f
′′
(i.e., the second derivative). State which curve represents
f
f
f
, which represents
f
′
f'
f
′
, and which represents
f
′
′
f''
f
′′
.
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