Given the function
f(x)=x^(3)+3x^(2)-24x+12
over the interval
-8<=x<=4
, answer the following questions. (a) Find
f^(')(x)
and
f^('')(x)
.
f^(')(x)=
f^('')(x)=
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(b) Find the critical points of
f
.
q,
q,
x_(2)=
q,
(c) Find any inflection points of
f
.
x=
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(d) Evaluate
f
at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of
f
in the interval.
f(x_(1))=
f(x_(2))=
f(-8)=
is
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is
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Sunset 8:38 PM is
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