diff --git a/Rapport.ipynb b/Rapport.ipynb index e2a8badfcd094ef8560ce5e8a9edd5ef956d83f7..14626d37488ebc9703860e483b7d4f0ef226ebc6 100644 --- a/Rapport.ipynb +++ b/Rapport.ipynb @@ -473,13 +473,13 @@ "\n", "### 1\n", "\n", - "$```\n", - "\\sigma(x)=\\frac{1}{1+e^{-x}}\n", - "\\Rightrrow \\sigma'(x)=\\frac{-e^{-x}}{-(1+e^{-x})^2}\n", - "\\Rightarrow \\sigma'(x)=\\frac{1}{1+e^{-x}}(\\frac{1+e^{-x}-1}{1+e^{-x}})\n", - "\\Rightarrow \\sigma'(x)=\\sigma(\\frac{1+e^{-x}}{1+e^{-x}}-\\frac{1}{1+e^{-x}})\n", + "$\n", + "\\sigma(x)=\\frac{1}{1+e^{-x}}\\\\\n", + "\\Rightarrow \\sigma'(x)=\\frac{-e^{-x}}{-(1+e^{-x})^2}\\\\\n", + "\\Rightarrow \\sigma'(x)=\\frac{1}{1+e^{-x}}(\\frac{1+e^{-x}-1}{1+e^{-x}})\\\\\n", + "\\Rightarrow \\sigma'(x)=\\sigma(\\frac{1+e^{-x}}{1+e^{-x}}-\\frac{1}{1+e^{-x}})\\\\\n", "\\Rightarrow \\sigma'(x)=\\sigma(1-\\sigma)\n", - "```$\n", + "$\n", "\n", "### 2\n", "\n",