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Mathematics
Problem
Let
A
(
t
)
=
∫
3
t
f
(
x
)
d
x
A(t)=\int_{3}^{t} f(x)\,dx
A
(
t
)
=
∫
3
t
f
(
x
)
d
x
for a differentiable function
f
f
f
. Which of the following expressions equals
A
′
(
t
)
A'(t)
A
′
(
t
)
? a)
F
(
t
)
F(t)
F
(
t
)
b)
f
(
t
)
f(t)
f
(
t
)
c)
f
′
(
t
)
f'(t)
f
′
(
t
)
d)
∫
3
t
f
′
(
x
)
d
x
\displaystyle \int_{3}^{t} f'(x)\,dx
∫
3
t
f
′
(
x
)
d
x
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