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Mathematics
Problem
Which expression equals
d
d
x
[
f
(
x
)
h
(
x
)
]
\dfrac{d}{dx}[f(x)\,h(x)]
d
x
d
[
f
(
x
)
h
(
x
)]
for differentiable functions
f
f
f
and
h
h
h
? a)
f
′
(
x
)
h
(
x
)
f'(x)\,h(x)
f
′
(
x
)
h
(
x
)
b)
f
′
(
x
)
h
′
(
x
)
f'(x)\,h'(x)
f
′
(
x
)
h
′
(
x
)
c)
f
′
(
x
)
h
(
x
)
+
f
(
x
)
h
′
(
x
)
f'(x)\,h(x)+f(x)\,h'(x)
f
′
(
x
)
h
(
x
)
+
f
(
x
)
h
′
(
x
)
d)
f
′
(
h
(
x
)
)
h
′
(
x
)
f'(h(x))\,h'(x)
f
′
(
h
(
x
))
h
′
(
x
)
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