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NDA2023MathematicsApplication of DerivativesActual

A function is defined by f(x)= | array ccc x+1 & 2 & 3 2 & x+4 & 6 3 & 6 & x+9 array | The function attains local minimum value at:

Options

  1. Ax=- 28 3
  2. Bx=-1
  3. Cx=0
  4. Dx= 28 3

Correct answer

C. x=0

Step-by-step solution

For local minima f^ (x)=0 3 x^2+28 x=0 x= -28 3 , 0 Now, f^ (x)=6 x+28 Now, f^ (0)=28 0 & f^ ( -28 3 ) 0 So, f ( x ) has local minimum value at x =0

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