Strong derivative/Infobox

	Strong derivative
	lim; For two normed spaces (X,\Vert\cdot\Vert_X) and (Y,\Vert\cdot\Vert_Y); and a mapping f:U\rightarrow Y for U open in X; ; df\vert_{x_0}:X\rightarrow Y a linear map called the; "derivative of f at x_0"

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Strong derivative
For two normed spaces $(X,\Vert\cdot\Vert_X)$ and $(Y,\Vert\cdot\Vert_Y)$ and a mapping $f:U\rightarrow Y$ for $U$ open in $X$ $df\vert_{x_0}:X\rightarrow Y$ a linear map called the "derivative of $f$ at $x_0$ "