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KCET2008MathematicsApplication of Derivatives

If f(x) is an even function and f^ (x) exists, then f ^ ( e )+ f ^ (- e ) is

Options

  1. A>0
  2. B0
  3. C0
  4. D< 0

Correct answer

B. 0

Step-by-step solution

Since, f(x) is an even function, therefore f^ (x) is an odd function. f^ (-e)=-f^ (e) f ^ ( e )+ f ^ (- e )=0

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