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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
x
4
−
4
x
2
f(x)=x^{4}-4x^{2}
f
(
x
)
=
x
4
−
4
x
2
on the interval
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
. How many distinct points
c
c
c
in
(
−
2
,
2
)
(-2,2)
(
−
2
,
2
)
satisfy
f
′
(
c
)
=
f
(
2
)
−
f
(
−
2
)
2
−
(
−
2
)
f'(c)=\dfrac{f(2)-f(-2)}{2-(-2)}
f
′
(
c
)
=
2
−
(
−
2
)
f
(
2
)
−
f
(
−
2
)
? a) 2 b) 4 c) 3 d) 1
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