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KCET2024MathematicsApplication of Derivatives

For the function f(x)=x^3-6 x^2+12 x-3x=2 is

Options

  1. AA point of minium
  2. BA point of inflexion
  3. CNot a critical point
  4. DA point of maximum

Correct answer

B. A point of inflexion

Step-by-step solution

f(x)=x^3-6 x^2+12 x-3 f^ (x)=3 x^2-12 x+12 f^ (x)=6 x-12=6(x-2) f^ (2)=0

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