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NDA2023MathematicsApplication of DerivativesActual

Paragraph: Given that m( )= ^2 +n^2 ^2 +2 n , where n is a fixed positive real number. Question: Under what condition does m attain the least value?

Options

  1. An= ^2
  2. Bn= ^2
  3. Cn= ^2
  4. Dn= ^2

Correct answer

B. n= ^2

Step-by-step solution

For minimum value, ^2 +n^2 ^2 +2 n=4 n( )^2+(n )^2-2( n )=0( -n )^2=0 =n ^2 =n

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