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Mathematics
Problem
If the Rolle's theorem holds for the function
f
(
x
)
=
2
x
3
+
a
x
2
+
b
x
f(x) = 2x^3 + ax^2 + bx
f
(
x
)
=
2
x
3
+
a
x
2
+
b
x
in the interval
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
for the point
c
=
1
2
c = \frac{1}{2}
c
=
2
1
, then the value of
2
a
+
b
2a + b
2
a
+
b
is : (1) 2 (2)
−
2
-2
−
2
(3)
−
1
-1
−
1
(4) 1
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