# 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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