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NDA2018MathematicsApplication of DerivativesActual

What is the maximum value of 16 -12 ^2 ?

Options

  1. A3 4
  2. B4 3
  3. C16 3
  4. D4

Correct answer

C. 16 3

Step-by-step solution

aligned & f( )=16 -12 ^2 & f^ ( )=16 -24 & f^ ( )=0 (16-24 )=0 & =0 or 16-24 =0 & = 2 or = 2 3 & f ( 2 )=16 2 -12 ^2 2 =16-12=4 & and f ( = 2 3 )=16 ( 2 3 )-12 ( 2 3 )^2 & = 32 3 - 48 9 = 32 3 - 16 3 = 16 3 aligned

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