anonymous
  • anonymous
What's the relationship among max and min, concave direction and the derivatives?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Ok 1st derivative: If f'(x) is positive, f(x) is increasing. if f'(x) is negative, f(x) is decreasing. If f''(x) is positive, f(x) is concave up If f''(x) is negative, f(x) is concave down When f'(x) = 0, it can be either a min or max. If it goes from increasing to decreasing (+-> -) then it is concave down and a max. If it goes from decreasing to increasing, then it is concave up and a min.

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