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Mathematics
Mathematics
Problem
For a continuous function
f
f
f
and a differentiable function
g
g
g
, which of the following expressions is equal to
d
d
x
(
∫
g
(
x
)
7
f
(
t
)
d
t
)
\dfrac{d}{dx}\left(\displaystyle\int_{g(x)}^{7} f(t)\,dt\right)
d
x
d
(
∫
g
(
x
)
7
f
(
t
)
d
t
)
? a)
f
(
g
(
x
)
)
g
′
(
x
)
f\bigl(g(x)\bigr)\,g'(x)
f
(
g
(
x
)
)
g
′
(
x
)
b)
−
f
(
g
(
x
)
)
-f\bigl(g(x)\bigr)
−
f
(
g
(
x
)
)
c)
−
f
(
g
(
x
)
)
g
′
(
x
)
-f\bigl(g(x)\bigr)\,g'(x)
−
f
(
g
(
x
)
)
g
′
(
x
)
d)
f
(
x
)
f(x)
f
(
x
)
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