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Mathematics
Problem
Explain, in one or two sentences, why the function
f
(
x
)
=
x
3
f(x)=x^{3}
f
(
x
)
=
x
3
has neither a local maximum nor a local minimum at
x
=
0
x=0
x
=
0
even though
f
′
(
0
)
=
0
f'(0)=0
f
′
(
0
)
=
0
.
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