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Find the point of inflection for the curve y = x36x2+12x+5.

Solution :

y = x36x2+12x+5

y’ = 3x212x+12

y” = 6x12

y” = 0 6x – 12 = 0

  x = 2

Since, y” = 0 at x = 2,

Hence the point of inflection is 2.


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