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Mathematics
Mathematics
Problem
Let
f
f
f
be a differentiable function whose derivative is
f
′
(
x
)
=
(
x
−
3
)
(
x
+
1
)
f'(x)=(x-3)(x+1)
f
′
(
x
)
=
(
x
−
3
)
(
x
+
1
)
for all real
x
x
x
. a) Find the interval(s) on which
f
f
f
is strictly increasing. b) Find the interval(s) on which
f
f
f
is strictly decreasing.
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