0 throughout an interval [a, b], then f' has at most one zero in a, b]. What if f\" <0 throughout [a, b] instead?"> 0 throughout an interval [a, b], then f' has at most one zero">

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Ashwini posted an Question
September 02, 2020 • 21:07 pm 30 points
  • IIT JAM
  • Mathematics (MA)

(17) show that if f"> 0 throughout an interval [a, b], then f' has at most one zero in a, b]. what if f" <0 throughout [a, b] instead?

(17) Show that if f"> 0 throughout an interval [a, b], then f' has at most one zero in a, b]. What if f" <0 throughout [a, b] instead?

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  • Anuj s. best-answer

    first condition of minima while second condition for maxima f' has only one root therefore its either have maxima or minima (with respective condition)

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