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Question

If f (x) is an odd function, then write whether f' (x) is even or odd.

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Solution

We have, fx is an odd function.f-x=-fx

ddxf-x=-ddxfxf'-xddx-x=-f'xf'-x×-1=-f'x-f'-x=-f'xf'-x=f'xThus, f'x is an even function.

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