Find the point of inflection for the curve y = \(x^3 – 6x^2 + 12x + 5\).

Solution :

y = \(x^3 – 6x^2 + 12x + 5\)

y’ = \(3x^2 – 12x + 12\)

y” = \(6x – 12\)

y” = 0 \(\implies\) 6x – 12 = 0

\(\implies\)  x = 2

Since, y” = 0 at x = 2,

Hence the point of inflection is 2.


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