Question: Let f: S Y be a differentiable function on an open convex set S X. For every x0, x1, x2 S, f (x1) -f(x2) Df[xo](x1

Let f: S †’ Y be a differentiable function on an open convex set S Š† X. For every x0, x1, x2 ˆˆ S,
f (x1) -f(x2) – Df[xo](x1 - x2)|| < sup Df (x]- Df xol| ||1 – x||

f (x1) -f(x2) Df[xo](x1 - x2)|| < sup Df (x]- Df xol| ||1 x||

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