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Mathematics
Mathematics
Problem
4. Let
f
(
x
)
=
x
2
e
sin
x
f(x)=x^{2}\,e^{\sin x}
f
(
x
)
=
x
2
e
s
i
n
x
. Determine
f
′
(
π
2
)
\displaystyle f'(\tfrac{\pi}{2})
f
′
(
2
π
)
. a)
e
(
π
+
π
2
4
)
e\left(\pi+\dfrac{\pi^{2}}{4}\right)
e
(
π
+
4
π
2
)
b)
π
e
\pi e
π
e
c)
π
2
e
4
\dfrac{\pi^{2}e}{4}
4
π
2
e
d)
π
\pi
π
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