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Mathematics
Mathematics
Problem
Define
G
(
x
)
=
∫
x
3
cos
(
t
2
)
d
t
+
∫
4
x
t
d
t
G(x)=\displaystyle\int_{x}^{3} \cos\bigl(t^{2}\bigr)\,dt+\int_{4}^{x} t\,dt
G
(
x
)
=
∫
x
3
cos
(
t
2
)
d
t
+
∫
4
x
t
d
t
. Which of the following best represents
G
′
(
x
)
G'(x)
G
′
(
x
)
? a)
cos
(
x
2
)
+
x
\cos\bigl(x^{2}\bigr)+x
cos
(
x
2
)
+
x
b)
−
2
x
sin
(
x
2
)
+
x
-2x\sin\bigl(x^{2}\bigr)+x
−
2
x
sin
(
x
2
)
+
x
c)
−
cos
(
x
2
)
+
x
-\cos\bigl(x^{2}\bigr)+x
−
cos
(
x
2
)
+
x
d)
−
cos
(
x
2
)
−
x
-\cos\bigl(x^{2}\bigr)-x
−
cos
(
x
2
)
−
x
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