diff --git a/ana12.pdf b/ana12.pdf index 18649db..46ae31e 100644 Binary files a/ana12.pdf and b/ana12.pdf differ diff --git a/ana12.tex b/ana12.tex index cf3fd78..8b5d7d7 100644 --- a/ana12.tex +++ b/ana12.tex @@ -75,7 +75,7 @@ Erinnerung (Analysis 1) $f \colon D \to \R,\; D \subset \R$, ist genau dann in $ &= h'(0) \intertext{Kettenregel:} h'(t) &= \sum_{i = 1}^{n} \pdv{f}{x_i}(\xi(t))\cdot \xi_i'(t)\\ - \implies h'(0) &\stackrel{\xi(0) = x + 0\cdot v, \xi_i'(t) = v_i}{=} \sum_{i = 1}^{n}\pdv{f}{x_i}(x)\cdot v_i\\ + \implies h'(0) &\stackrel[\xi_i'(t) = v_i]{\xi(0) = x + 0\cdot v}{=} \sum_{i = 1}^{n}\pdv{f}{x_i}(x)\cdot v_i\\ &= (\nabla f(x),v)_2 \end{salign*} \end{proof} diff --git a/analysisII.pdf b/analysisII.pdf index f32a071..ef952fe 100644 Binary files a/analysisII.pdf and b/analysisII.pdf differ