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https://texercises.com/exercise/area-tangens-hyperbolicus-integral
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Exercise:
displaystyle fracx^- ddx

Solution:
Über einen Vorzeichenwechsel kann die Funktion auf eine bekannte Funktion zurückgeführt werden. Fx fracx^- ddx frac--x^ ddx - tcbhighmathaufgabe frac-x^ ddx substitutionx:tanh y quad ddx -tanh^ yddy - frac-tanh^ y -tanh^ yddy - ddy -y + c tcbhighmathloesung-operatornameartanh x + c -atan x + c Das Differenzieren des Tangens hyperbolicus sieht wie folgt aus: fracddddxtanh x fracddddxfracsinh xcosh x fraccosh^ x - sinh^ xcosh^ x -tanh^ x
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Attributes & Decorations
Tags hyperbolicus, integral, integralrechnung, integrieren, mathematik, substitution, tangens
Difficulty (default)
Points 3 (default)
Language GER (Deutsch)
Type Calculative / Quantity
Creator uz
Decoration