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Mathematics
Problem
For the function
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
1
f(x)=x^{3}-6x^{2}+9x+1
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
1
: a. (i) Find all critical points. b. (ii) Determine the nature (maximum or minimum) of each critical point. c. (iii) State the coordinates of each local extremum.
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