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Mathematics
Mathematics
Problem
For the function
g
(
x
)
=
x
4
−
4
x
3
g(x)=x^4-4x^3
g
(
x
)
=
x
4
−
4
x
3
, how is the critical point at
x
=
0
x=0
x
=
0
classified? a)
Local maximum
\text{Local maximum}
Local maximum
b)
Cannot be determined from the given information
\text{Cannot be determined from the given information}
Cannot be determined from the given information
c)
Neither maximum nor minimum (point of inflection)
\text{Neither maximum nor minimum (point of inflection)}
Neither maximum nor minimum (point of inflection)
d)
Local minimum
\text{Local minimum}
Local minimum
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