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Mathematics
Mathematics
Problem
The second derivative of a function
f
f
f
is given by
f
′
′
(
x
)
=
8
x
−
12
f''(x)=8x-12
f
′′
(
x
)
=
8
x
−
12
for all real numbers
x
x
x
. Determine the
x
x
x
-coordinate of the point of inflection of the graph of
f
f
f
. a)
x
=
0
x=0
x
=
0
b)
x
=
1.5
x=1.5
x
=
1.5
c)
x
=
−
1.5
x=-1.5
x
=
−
1.5
d)
x
=
1.25
x=1.25
x
=
1.25
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