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Mathematics
Mathematics
Problem
Let
H
(
x
)
=
∫
0
x
2
(
3
t
2
+
1
)
d
t
H(x)=\displaystyle\int_{0}^{x^{2}} \bigl(3t^{2}+1\bigr)\,dt
H
(
x
)
=
∫
0
x
2
(
3
t
2
+
1
)
d
t
. What is
H
′
(
x
)
H'(x)
H
′
(
x
)
? a)
3
x
2
+
1
3x^{2}+1
3
x
2
+
1
b)
2
x
(
3
x
4
+
1
)
2x\bigl(3x^{4}+1\bigr)
2
x
(
3
x
4
+
1
)
c)
x
6
+
x
2
x^{6}+x^{2}
x
6
+
x
2
d)
2
x
(
3
x
2
+
1
)
2x\bigl(3x^{2}+1\bigr)
2
x
(
3
x
2
+
1
)
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