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AP EAMCET2004MathematicsFunctions

If f: R R is an even function having derivatives of all orders, then an odd function among the following is

Options

  1. Af^
  2. Bf^
  3. Cf^ +f^
  4. Df^ +f^

Correct answer

B. f^

Step-by-step solution

Since, f is an even function. Let aligned f(x) & = x f^ (x) & = x f^ (x) & =- x f^ (x) & = x aligned Since, x is an odd function. In f^ it is an odd function Therefore option (2) is correct.

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