Question: Every continuous bilinear function f: X Y Z is differentiable with Df[x, y] = f(x, ) + f(, y) that is, Df[x0, y0](x,

Every continuous bilinear function f: X × Y → Z is differentiable with
Df[x, y] = f(x, ∙) + f(∙, y)
that is,
Df[x0, y0](x, y) = f(x0, y) + f(x, y0)

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