Question

6. Let ?(?) be a continuous function defined for all real numbers, with?'(?)=(?−1)2(?−3)3(?−2) and ?''(?) =...

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.

  1. On what intervals is ? increasing and decreasing?
    Increasing on:
    Decreasing on:

  2. 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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