{"text_format":"1","workbook":"xlsx","n_sheets":1,"sheets":["Tabelle1"],"not_rendered":{"charts":1,"images":0,"macros":0,"external_links":0,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Tabelle1","index":0,"n_rows":13,"n_cols":14,"rows_kept":13,"cut":false,"hidden":false,"merged":[]}
[null,"Funktion und Differenzenquotient:"]
[]
[null,"Wertetabelle: "]
[]
[null,"x",0,{"$f":"C5+$N$7","v":0.5},1,1.5,2,2.5,3,3.5,4,4.5,5,"Schrittweite"]
[null,null,{"$f":"SUBSTITUTE($B$7,\"x\",C$5)","v":"0^2"},{"$f":"SUBSTITUTE($B$7,\"x\",D$5)","v":"0,5^2"},{"$f":"SUBSTITUTE($B$7,\"x\",E$5)","v":"1^2"},{"$f":"SUBSTITUTE($B$7,\"x\",F$5)","v":"1,5^2"},"2^2","2,5^2","3^2","3,5^2","4^2","4,5^2","5^2"]
["Funktion:","x^2",{"$f":"Berechnen","v":0},{"$f":"Berechnen","v":0.25},{"$f":"Berechnen","v":1},{"$f":"Berechnen","v":2.25},{"$f":"Berechnen","v":4},{"$f":"Berechnen","v":6.25},{"$f":"Berechnen","v":9},{"$f":"Berechnen","v":12.25},{"$f":"Berechnen","v":16},{"$f":"Berechnen","v":20.25},{"$f":"Berechnen","v":25},0.5]
[null,"Gerade",{"$f":"C5*$G$11+$G$13","v":-3},{"$f":"D5*$G$11+$G$13","v":-1},1,3,5,7,9,11,13,15,17]
[null,"Differenzenquotient:",null,null,null,null,null,null,"Hinweis: "]
[null,null,null,null,null,null,null,null,"Verkleinere das Intervall und beobachte, wie sich die "]
[null,"Intervall: ",1,3,null,"m = ",{"$f":"(D13-C13)/(D11-C11)","v":4},null,"mittlere Änderungsrate (=Sekantensteigung) ändert und"]
[null,null,{"$f":"SUBSTITUTE($B$7,\"x\",C11)","v":"1^2"},{"$f":"SUBSTITUTE($B$7,\"x\",D11)","v":"3^2"}]
[null,"f(x)",{"$f":"Berechnen","v":1},{"$f":"Berechnen","v":9},null,"b = ",{"$f":"C13-C11*G11","v":-3},null,"sich der Tangentensteigung annähert. "]