A positive derivative, A positive derivative

A positive derivative

Reference no: EM13515438

Prove that if f is defined on an open interval I and has a positive derivative at a point a ∈ I, then there is an open interval J, containing a and contained in I , such that f(x) < f(a) < f(y) whenever x, y ∈ J and x < a < y.

Reference no: EM13515438

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