jaymc64 jaymc64
  • 01-01-2018
  • Mathematics
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How to find maximum if second derivative test is inconclusive?

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Rod44 Rod44
  • 01-01-2018
Choose two values for the independent variable close to the turning-point. By comparing the f(x) values on either side of the extremum you can see if these are bigger or smaller. For example, at (c,f(c)) we have an extremum for f(x). Choose a small arbitrary value h and calculate f(c-h) and f(c+h). If both of these are less than f(c) then we have a maximum.
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