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Diesen Schritt h\u00e4tten wir auch \u00fcber springen k\u00f6nnen, denn wir wissen ja schon, \\( f'(x) = - F'_1\/F'_2 \\), und hier ist \\( F'_1 = y\\) und \\( F'_2 = x\\), also \\( f'(x) = -y\/x \\) .<\/p>\n"},"subContentId":"09e078df-7f4a-4545-9edb-2e2eaa3687e8","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"pause":false,"displayType":"poster","buttonOnMobile":false,"visuals":{"backgroundColor":"rgb(255, 255, 255)","boxShadow":true},"goto":{"url":{"protocol":"http:\/\/"},"visualize":false,"type":""},"label":""},{"x":0,"y":79.26397735314933,"width":29.198957443237305,"height":4.570833206176758,"duration":{"from":578.629,"to":588.629},"libraryTitle":"Text","action":{"library":"H5P.Text 1.1","params":{"text":"

Diesen Schritt k\u00f6nnten wir \u00fcberspringen und direkt \\(F'_1\\) und \\(F'_2\\) ausrechnen, und dann \\(f(x) = -F'_1 \/ F'_2 \\).<\/p>\n"},"subContentId":"c20fc731-c790-49a6-b68e-03990a5edcf1","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"pause":false,"displayType":"poster","buttonOnMobile":false,"visuals":{"backgroundColor":"rgb(255, 255, 255)","boxShadow":true},"goto":{"url":{"protocol":"http:\/\/"},"visualize":false,"type":""},"label":""},{"x":28.660087658295126,"y":0,"width":28,"height":15,"duration":{"from":1106.704,"to":1107.704},"libraryTitle":"Single Choice Set","action":{"library":"H5P.SingleChoiceSet 1.11","params":{"choices":[{"subContentId":"711d046e-b662-4bab-91e3-8c5ab77489ea","question":"

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Die H\u00f6henlinie ist wahrscheinlich senkrecht.<\/p>\n","

Die H\u00f6henlinie ist wahrscheinlich hier nicht definiert.<\/p>\n","

Die H\u00f6henlinie k\u00f6nnte an dieser Stelle einen Knick haben.<\/p>\n"]}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"autoContinue":true,"timeoutCorrect":2000,"timeoutWrong":3000,"soundEffectsEnabled":true,"enableRetry":true,"enableSolutionsButton":true,"passPercentage":100},"l10n":{"nextButtonLabel":"Weiter","showSolutionButtonLabel":"L\u00f6sung anzeigen","retryButtonLabel":"Wiederholen","solutionViewTitle":"L\u00f6sung","correctText":"Richtig!","incorrectText":"Falsch!","muteButtonLabel":"Stumm schalten","closeButtonLabel":"Schlie\u00dfen","slideOfTotal":"Seite :num von :total","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","solutionListQuestionNumber":"Frage :num","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."}},"subContentId":"0f715db6-f890-49f0-8ec9-278182b682a6","metadata":{"contentType":"Single Choice Set","license":"U","title":"Unbenannt: Single Choice Set"}},"pause":true,"displayType":"poster","buttonOnMobile":false,"adaptivity":{"correct":{"allowOptOut":false,"message":""},"wrong":{"allowOptOut":false,"message":""},"requireCompletion":false},"label":""},{"x":31.826861871419478,"y":0,"width":26.3125,"height":13.5,"duration":{"from":1139.134,"to":1140.134},"libraryTitle":"Single Choice Set","action":{"library":"H5P.SingleChoiceSet 1.11","params":{"choices":[{"subContentId":"57497609-c956-4719-932f-9106f35dfbae","question":"

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Das Niveau der H\u00f6henlinie an dieser Stelle.<\/p>\n","

Die Steigung der H\u00f6henlinie an dieser Stelle.<\/p>\n","

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Mathe A -- Steigung Höhenlinie