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Maxima And Minima

 

To find maximum and minimum values of function f (x)

  • Find f ′(x) and take f ′ (x) = 0 and find the roots.
  • Then find f ′′ (x) for each of these roots.
    If f ′′ (a) > 0, f (a) is minimum value of f (x)
    If f ′′ (a) < 0, f (a) is maximum value of f (x)
    If f ′′ (a) = 0, f (a) is not maximum or minimum value.

    Curl F = Δ  × F = 697.png

    Grad f =  f = 702.png

    div F = 707.png 




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