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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
a
x
2
+
sin
x
−
3
cos
x
f(x)=ax^{2}+\sin x-3\cos x
f
(
x
)
=
a
x
2
+
sin
x
−
3
cos
x
. If
f
′
(
π
/
2
)
=
0
f'(\pi/2)=0
f
′
(
π
/2
)
=
0
, determine the value of
a
a
a
. a)
−
1
π
-\dfrac{1}{\pi}
−
π
1
b)
3
π
\dfrac{3}{\pi}
π
3
c)
−
3
π
-\dfrac{3}{\pi}
−
π
3
d)
−
π
3
-\dfrac{\pi}{3}
−
3
π
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