anonymous
  • anonymous
f(x) = 2x3 + 3x2 − 432x Part (a) Find the intervals on which f is increasing. Find the interval on which f is decreasing. Part (b) Find the local minimum and maximum values of f. Part (c) Find the inflection point. Find the interval on which f is concave up. Find the interval on which f is concave down.
Mathematics
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anonymous
  • anonymous
f(x) = 2x3 + 3x2 − 432x Part (a) Find the intervals on which f is increasing. Find the interval on which f is decreasing. Part (b) Find the local minimum and maximum values of f. Part (c) Find the inflection point. Find the interval on which f is concave up. Find the interval on which f is concave down.
Mathematics
jamiebookeater
  • jamiebookeater
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bahrom7893
  • bahrom7893
a) find f': 6x^2 + 6x - 432 = 0 then find where its positive, that is when f is increasing.
bahrom7893
  • bahrom7893
when its negative f will be decreasing, at 0 u will have local max and mins
bahrom7893
  • bahrom7893
c) f" = 12x + 6 = 0 12x+6 = 0 and the signs of f" change before and after that 0, then u have an inflection point

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bahrom7893
  • bahrom7893
concave up - f" >0 concave down - f"<0, sorry i gtg just do all the steps above..
anonymous
  • anonymous
Thanks a lot really appreciate it.

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