find-or-prove-it-can-t-exist-a-f-R-R-diferentiable-such-that-a-a-f-x-dx-0-a-R-gt-0-df-dx-0-x-R-

Question Number 56205 by 121194 last updated on 12/Mar/19

find (or prove it {can}^{'} t exist) a f : R \to R diferentiable

such that

\underset{a - δ}{\int^{a + δ}} f (x) d x = 0, \forall a \in R, δ > 0

\frac{d f}{d x} = 0, \forall x \in R

Answered by MJS last updated on 12/Mar/19

f (x) = 0

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