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@@ -1,7 +1,7 @@
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\documentclass[a4paper,10pt]{article}
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\documentclass[a4paper,10pt]{article}
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\usepackage{amssymb}
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\usepackage{amssymb}
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\usepackage{amsmath}
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\usepackage{amsmath}
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-\DeclareMahOperator\arctanh{arctanh}
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+\DeclareMathOperator{\arctanh}{arctanh}
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\usepackage[utf8]{inputenc} % this is needed for umlauts
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\usepackage[utf8]{inputenc} % this is needed for umlauts
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\usepackage[ngerman]{babel} % this is needed for umlauts
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\usepackage[ngerman]{babel} % this is needed for umlauts
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\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
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\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
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@@ -71,7 +71,7 @@ e^x &= \sum_{n = 0}^{\infty} \frac {x^n}{n!} \\
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(\arctan x)' &= \frac {1}{1 + x^2} \\
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(\arctan x)' &= \frac {1}{1 + x^2} \\
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(\sin x)' &= \cos x \\
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(\sin x)' &= \cos x \\
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(\cos x)' &= -\sin x \\
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(\cos x)' &= -\sin x \\
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- (\arctanh x)' &= \frac {1}{\sqrt {1 + x^2}}
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+ (\arctanh x)' &= \frac {1}{1 + x^2}
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\end{align*}
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\end{align*}
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