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Mathematics
Mathematics
Problem
Consider the function
p
p
p
, twice differentiable on
(
−
3
,
5
)
(-3,5)
(
−
3
,
5
)
except at
x
=
1
x=1
x
=
1
, where
p
′
′
p''
p
′′
is undefined. The second derivative is given by
p
′
′
(
x
)
=
(
x
−
2
)
2
(
x
+
1
)
x
−
1
,
x
≠
1.
p''(x)=\frac{(x-2)^{2}(x+1)}{x-1}, \quad x\neq 1.
p
′′
(
x
)
=
x
−
1
(
x
−
2
)
2
(
x
+
1
)
,
x
=
1.
List all values of
x
x
x
in the interval
(
−
3
,
5
)
(-3,5)
(
−
3
,
5
)
at which
p
p
p
has an inflection point.
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