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Mathematics
Problem
Explain briefly why
d
2
d
x
2
[
f
(
x
)
g
(
x
)
]
\dfrac{d^{2}}{dx^{2}}\bigl[f(x)g(x)\bigr]
d
x
2
d
2
[
f
(
x
)
g
(
x
)
]
contains terms involving
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
and
g
′
′
(
x
)
g''(x)
g
′′
(
x
)
as well as
f
′
(
x
)
g
′
(
x
)
f'(x)g'(x)
f
′
(
x
)
g
′
(
x
)
.
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