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ISI2017-MMA-13
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An even function $f(x)$ has left derivative $5$ at $x=0$. Then

  1. the right derivative of $f(x)$ at $x=0$ need not exist
  2. the right derivative of $f(x)$ at $x=0$ exists and is equal to $5$
  3. the right derivative of $f(x)$ at $x=0$ exists and equal to $-5$
  4. none of the above is necessarily true
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