User manual MAPLESOFT MAPLE

[. . . ] Maple User Manual Copyright © Maplesoft, a division of Waterloo Maple Inc. 1996-2009 Maple User Manual Copyright Maplesoft, Maple, MapleSim, Maple Application Center, Maple Student Center, Maplet, Maple T. A. , and MapleNet are all trademarks of Waterloo Maple Inc. © Maplesoft, a division of Waterloo Maple Inc. No part of this book may be reproduced, stored in a retrieval system, or transcribed, in any form or by any means -- electronic, mechanical, photocopying, recording, or otherwise. [. . . ] Numerically Computing a Limit To numerically compute a limit: · Use the evalf(Limit(arguments)) calling sequence. Important: Use the inert Limit command, not the limit command. For more information, refer to the ?limit help page. 5. 4 Calculus · 211 The Limit command accepts the same arguments as the limit command. For example: > For information on the evalf command, see Numerical Approximation (page 428). The Limit command does not compute the limit. > For more information on the Limit command, refer to the ?Limit help page. Differentiation Maple can perform symbolic and numeric differentiation. In the Expression palette, click the differentiation item partial differentiation item . or the 2. Specify the expression and independent variable, and then evaluate it. For example, to differentiate with respect to : 212 · 5 Mathematical Problem Solving > You can also differentiate using context menus. For more information, see Context Menus and Copy & Drag (page 46). To calculate a higher order or partial derivative, edit the derivative symbol inserted. For example, to calculate the second derivative of with respect to : > To calculate the mixed partial derivative of > : Note: To enter another symbol, you can copy and paste the existing symbol, or enter d and use symbol completion. The diff Command Maple computes derivatives using the diff command. To directly use the diff command, specify the expression to differentiate and the variable. > 5. 4 Calculus · 213 (5. 4) > (5. 5) For information on equation labels such as (5. 4), see Equation Labels (page 114). To calculate a higher order derivative, specify a sequence of differentiation variables. Maple recursively calls the diff command. > (5. 6) To calculate a partial derivative, use the same syntax. Maple assumes that the derivatives commute. > To enter higher order derivatives, it is convenient to use the sequence operator ($). For more information, refer to the ?$ help page. To compute the nth derivative of an expression f in the independent variable t, you can use the syntax For example: > 214 · 5 Mathematical Problem Solving Differentiating an Operator You can also specify a mathematical function as a functional operator (a mapping). For a comparison of operators and other expressions, see Distinction between Functional Operators and Other Expressions (page 408). [. . . ] If the Maple Excel Add-in is not listed: · · · Click Browse and navigate to the directory in which Maple is installed. In the Excel directory, select the WMIMPLEX. xla file. Select the Maple Excel Add-in check box. To enable the Maple Excel Add-in in Excel 2007: 1. [. . . ]