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NDA2021MathematicsApplication of DerivativesActual

For what value of , where 0 2 , does + attain maximum value?

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

B. 3

Step-by-step solution

aligned & Let S= + & d s d = + ^2 - ^2 & =2 ^2 + -1=0 & =( +1)(2 -1)=0 & 1 = 1 2 = 3 aligned Now, d^2 s d ^2 =-4 - ( d^2 s d ^2 )_ (x= 3 ) =-4 1 2 3 2 - 3 2 0 function is maximum at x= 3

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