(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 823031, 25895]*) (*NotebookOutlinePosition[ 823666, 25917]*) (* CellTagsIndexPosition[ 823622, 25913]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Derivatives, tangents and differential equations", "Subtitle"], Cell["\<\ Ivan Cnop Vrije universiteit Brussel icnop@vub.ac.be\ \>", "Subsubtitle"], Cell[CellGroupData[{ Cell["Derivatives notations", "Section"], Cell[BoxData[ \(f[x_] := a\ x^3\ + \ b\ x^2\ + c\ x\ + d\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(f'\)[x]\), "\[IndentingNewLine]", \(\(f'\)[2]\)}], "Input"], Cell[BoxData[ \(c 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