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Maxima, Minima and Optimization Problems - Class XI

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Multiple Choice

The value of $a$ for which the function $f(x)=a\ \sin x+\dfrac{1}{3}\sin 3x$ has an extremum at $x=\dfrac{\pi}{3}$ is

  1. $1$
  2. $-1$
  3. $0$
  4. $2$