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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
5
f(x)=x^{3}-6x^{2}+9x+5
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
5
. Classify the critical point of
f
f
f
that occurs at
x
=
1
x=1
x
=
1
. a) Local minimum b) Point of inflection c) Local maximum d) Saddle point (neither a local maximum nor a local minimum)
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