6. Let ?(?) be a continuous function defined for all real
numbers, with?'(?)=(?−1)2(?−3)3(?−2)
and
?''(?) = (? − 1)(3? − 7)(2? − 3)(? − 3)2.
On what intervals is ? increasing and decreasing?
Increasing on:
Decreasing on:
Find the x-coordinate(s) of all local minima and maxima of
?.
Local min at x=__________________
Local max at x=_________________
c. On what intervals if ? concave up and concave down?
Concave up on:
Concave down on:
d. Find the x-coordinate(s) of points of inflection of ?.
x=___________________
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