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

1.	If f(x) is an odd function, then write whether f’(x) is even or odd.
Answer» f(x) is an odd function. This means that f(-x) = -f(x). If we differentiate this equation on both sides w.r.t. x, we get – f’(-x).(-1) = -f’(x) or, f’(-x) = f’(x) i.e., f’(x) is an even function.

Answer»

f(x) is an odd function.

This means that f(-x) = -f(x).

If we differentiate this equation on both sides w.r.t. x, we get –

f’(-x).(-1) = -f’(x)

or, f’(-x) = f’(x)

i.e., f’(x) is an even function.

Discussion

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