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Mathematics
Problem
For the function
p
(
x
)
=
x
4
−
4
x
2
+
5
p(x)=x^4-4x^2+5
p
(
x
)
=
x
4
−
4
x
2
+
5
defined on
R
\mathbb{R}
R
, answer the following: a. (i) Find all stationary points. b. (ii) Classify each stationary point as a local maximum or local minimum. c. (iii) Hence write the range of
p
(
x
)
p(x)
p
(
x
)
on
R
\mathbb{R}
R
.
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