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Mathematics
Mathematics
Problem
The derivative of a differentiable function is given by
f
′
(
x
)
=
(
x
−
a
)
(
x
−
3
)
f'(x)=(x-a)(x-3)
f
′
(
x
)
=
(
x
−
a
)
(
x
−
3
)
, where
a
a
a
is a real constant. State the condition on
a
a
a
that guarantees
f
f
f
has a local maximum at
x
=
a
x=a
x
=
a
.
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