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Mathematics
Problem
Define
G
(
x
)
=
∫
2
x
2
e
t
2
d
t
−
∫
1
x
e
t
2
d
t
G(x)=\displaystyle \int_{2}^{x^{2}} e^{t^{2}}\,dt-\int_{1}^{x} e^{t^{2}}\,dt
G
(
x
)
=
∫
2
x
2
e
t
2
d
t
−
∫
1
x
e
t
2
d
t
. \nWhich of the following is
G
′
(
x
)
G'(x)
G
′
(
x
)
? a)
2
x
e
x
4
−
e
x
2
2x\,e^{x^{4}}-e^{x^{2}}
2
x
e
x
4
−
e
x
2
b)
e
x
4
−
e
x
2
e^{x^{4}}-e^{x^{2}}
e
x
4
−
e
x
2
c)
2
x
e
x
4
+
e
x
2
2x\,e^{x^{4}}+e^{x^{2}}
2
x
e
x
4
+
e
x
2
d)
2
x
e
x
4
−
2
x
e
x
2
2x\,e^{x^{4}}-2x\,e^{x^{2}}
2
x
e
x
4
−
2
x
e
x
2
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