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6. Graphical Applications of Derivatives - Part 2 of 2
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Problem 1
Problem 2
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Problem 4
Problem 5
Problem 6
Problem 7
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Problem 9
6. Graphical Applications of Derivatives - Part 2 of 2
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6. Graphical Applications of Derivatives / Concavity / Problem 1
Problem 1
Consider the quartic function
h
(
x
)
h(x)
with its second derivative given by
h
′
′
(
x
)
=
(
x
+
6
)
(
x
−
5
)
h^{\prime\prime}(x)=(x+6)(x-5)
. Find the
x
x
-values where the graph of
h
(
x
)
h\left(x\right)
has an inflection point.
A
x
=
−
6
x=-6
B
x
=
−
5
and
x
=
6
x=-5\text{ and }x=6
C
x
=
−
6
and
x
=
5
x=-6\text{ and }x=5
D
x
=
5
x=5
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