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AP EAMCET20226 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

The value of ' a ' for which the function f(x)=a x+ 1 3 3 x has an extremum value at x= 3 is

Options

  1. A1
  2. B-1
  3. C0
  4. D2

Correct answer

D. 2

Step-by-step solution

aligned & f(x)=a x+ 1 3 3 x & f(x)=a x+ 1 3 3 3 x & f(x)=a x+ 3 x & f(x) has an extremum at x= 3 & a x ( 3 )+ ( )=0 & a 2 -1=0 a 2 =1 a=2 aligned

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