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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
sin
x
−
a
x
f(x)=\sin x - a x
f
(
x
)
=
sin
x
−
a
x
, where
a
a
a
is a real constant. Determine all real values of
a
a
a
for which the function has a local maximum at
x
=
0
x=0
x
=
0
.
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